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Available in 79 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-79" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">79 kalbų</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%AA%D8%B3%D9%84%D8%B3%D9%84%D8%A9_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)" title="متسلسلة (رياضيات) – arabų" lang="ar" hreflang="ar" data-title="متسلسلة (رياضيات)" data-language-autonym="العربية" data-language-local-name="arabų" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Serie_matem%C3%A1tica" title="Serie matemática – asturianų" lang="ast" hreflang="ast" data-title="Serie matemática" data-language-autonym="Asturianu" data-language-local-name="asturianų" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/S%C4%B1ra_(riyaziyyat)" title="Sıra (riyaziyyat) – azerbaidžaniečių" lang="az" hreflang="az" data-title="Sıra (riyaziyyat)" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaidžaniečių" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D2%BA%D0%B0%D0%BD%D0%BB%D1%8B_%D1%80%D3%99%D1%82" title="Һанлы рәт – baškirų" lang="ba" hreflang="ba" data-title="Һанлы рәт" data-language-autonym="Башҡортса" data-language-local-name="baškirų" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A0%D0%B0%D0%B4_(%D0%BC%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D0%BA%D0%B0)" title="Рад (матэматыка) – baltarusių" lang="be" hreflang="be" data-title="Рад (матэматыка)" data-language-autonym="Беларуская" data-language-local-name="baltarusių" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9B%D1%96%D0%BA%D0%B0%D0%B2%D1%8B_%D1%88%D1%8D%D1%80%D0%B0%D0%B3" title="Лікавы шэраг – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Лікавы шэраг" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A0%D0%B5%D0%B4_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Ред (математика) – bulgarų" lang="bg" hreflang="bg" data-title="Ред (математика)" data-language-autonym="Български" data-language-local-name="bulgarų" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%B8%E0%A5%80%E0%A4%B0%E0%A5%80%E0%A4%9C_(%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4)" title="सीरीज (गणित) – Bhojpuri" lang="bh" hreflang="bh" data-title="सीरीज (गणित)" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%A7%E0%A6%BE%E0%A6%B0%E0%A6%BE_(%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4)" title="ধারা (গণিত) – bengalų" lang="bn" hreflang="bn" data-title="ধারা (গণিত)" data-language-autonym="বাংলা" data-language-local-name="bengalų" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Red_(matematika)" title="Red (matematika) – bosnių" lang="bs" hreflang="bs" data-title="Red (matematika)" data-language-autonym="Bosanski" data-language-local-name="bosnių" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/S%C3%A8rie_(matem%C3%A0tiques)" title="Sèrie (matemàtiques) – katalonų" lang="ca" hreflang="ca" data-title="Sèrie (matemàtiques)" data-language-autonym="Català" data-language-local-name="katalonų" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B2%D9%86%D8%AC%DB%8C%D8%B1%DB%95_(%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9)" title="زنجیرە (ماتماتیک) – soranių kurdų" lang="ckb" hreflang="ckb" data-title="زنجیرە (ماتماتیک)" data-language-autonym="کوردی" data-language-local-name="soranių kurdų" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/%C5%98ada_(matematika)" title="Řada (matematika) – čekų" lang="cs" hreflang="cs" data-title="Řada (matematika)" data-language-autonym="Čeština" data-language-local-name="čekų" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A0%D0%B5%D1%82_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Рет (математика) – čiuvašų" lang="cv" hreflang="cv" data-title="Рет (математика)" data-language-autonym="Чӑвашла" data-language-local-name="čiuvašų" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/R%C3%A6kke_(matematik)" title="Række (matematik) – danų" lang="da" hreflang="da" data-title="Række (matematik)" data-language-autonym="Dansk" data-language-local-name="danų" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de badge-Q17437796 badge-featuredarticle mw-list-item" title="pavyzdinis straipsnis"><a href="https://de.wikipedia.org/wiki/Reihe_(Mathematik)" title="Reihe (Mathematik) – vokiečių" lang="de" hreflang="de" data-title="Reihe (Mathematik)" data-language-autonym="Deutsch" data-language-local-name="vokiečių" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A3%CE%B5%CE%B9%CF%81%CE%AC" title="Σειρά – graikų" lang="el" hreflang="el" data-title="Σειρά" data-language-autonym="Ελληνικά" data-language-local-name="graikų" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Series_(mathematics)" title="Series (mathematics) – anglų" lang="en" hreflang="en" data-title="Series (mathematics)" data-language-autonym="English" data-language-local-name="anglų" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Serio_(matematiko)" title="Serio (matematiko) – esperanto" lang="eo" hreflang="eo" data-title="Serio (matematiko)" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Serie_(matem%C3%A1tica)" title="Serie (matemática) – ispanų" lang="es" hreflang="es" data-title="Serie (matemática)" data-language-autonym="Español" data-language-local-name="ispanų" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Rida_(matemaatika)" title="Rida (matemaatika) – estų" lang="et" hreflang="et" data-title="Rida (matemaatika)" data-language-autonym="Eesti" data-language-local-name="estų" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Serie_(matematika)" title="Serie (matematika) – baskų" lang="eu" hreflang="eu" data-title="Serie (matematika)" data-language-autonym="Euskara" data-language-local-name="baskų" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B3%D8%B1%DB%8C_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA)" title="سری (ریاضیات) – persų" lang="fa" hreflang="fa" data-title="سری (ریاضیات)" data-language-autonym="فارسی" data-language-local-name="persų" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Sarja_(matematiikka)" title="Sarja (matematiikka) – suomių" lang="fi" hreflang="fi" data-title="Sarja (matematiikka)" data-language-autonym="Suomi" data-language-local-name="suomių" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/S%C3%A9rie_(math%C3%A9matiques)" title="Série (mathématiques) – prancūzų" lang="fr" hreflang="fr" data-title="Série (mathématiques)" data-language-autonym="Français" data-language-local-name="prancūzų" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Sraith_(matamaitic)" title="Sraith (matamaitic) – airių" lang="ga" hreflang="ga" data-title="Sraith (matamaitic)" data-language-autonym="Gaeilge" data-language-local-name="airių" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E7%B4%9A%E6%95%B8" title="級數 – kinų kalbos dziangsi tarmė" lang="gan" hreflang="gan" data-title="級數" data-language-autonym="贛語" data-language-local-name="kinų kalbos dziangsi tarmė" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/S%C3%A9ri_(mat%C3%A9matik)" title="Séri (matématik) – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Séri (matématik)" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Serie_(matem%C3%A1ticas)" title="Serie (matemáticas) – galisų" lang="gl" hreflang="gl" data-title="Serie (matemáticas)" data-language-autonym="Galego" data-language-local-name="galisų" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Kip-s%C3%BA" title="Kip-sú – kinų kalbos hakų tarmė" lang="hak" hreflang="hak" data-title="Kip-sú" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="kinų kalbos hakų tarmė" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%98%D7%95%D7%A8_(%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94)" title="טור (מתמטיקה) – hebrajų" lang="he" hreflang="he" data-title="טור (מתמטיקה)" data-language-autonym="עברית" data-language-local-name="hebrajų" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B6%E0%A5%8D%E0%A4%B0%E0%A5%87%E0%A4%A3%E0%A5%80_(%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4)" title="श्रेणी (गणित) – hindi" lang="hi" hreflang="hi" data-title="श्रेणी (गणित)" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Red_(matematika)" title="Red (matematika) – kroatų" lang="hr" hreflang="hr" data-title="Red (matematika)" data-language-autonym="Hrvatski" data-language-local-name="kroatų" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Numerikus_sorok" title="Numerikus sorok – vengrų" lang="hu" hreflang="hu" data-title="Numerikus sorok" data-language-autonym="Magyar" data-language-local-name="vengrų" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Serie_(mathematica)" title="Serie (mathematica) – tarpinė" lang="ia" hreflang="ia" data-title="Serie (mathematica)" data-language-autonym="Interlingua" data-language-local-name="tarpinė" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Deret_(matematika)" title="Deret (matematika) – indoneziečių" lang="id" hreflang="id" data-title="Deret (matematika)" data-language-autonym="Bahasa Indonesia" data-language-local-name="indoneziečių" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/R%C3%B6%C3%B0_(st%C3%A6r%C3%B0fr%C3%A6%C3%B0i)" title="Röð (stærðfræði) – islandų" lang="is" hreflang="is" data-title="Röð (stærðfræði)" data-language-autonym="Íslenska" data-language-local-name="islandų" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Serie_(matematica)" title="Serie (matematica) – italų" lang="it" hreflang="it" data-title="Serie (matematica)" data-language-autonym="Italiano" data-language-local-name="italų" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%B4%9A%E6%95%B0" title="級数 – japonų" lang="ja" hreflang="ja" data-title="級数" data-language-autonym="日本語" data-language-local-name="japonų" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Siiriz_(matimatix)" title="Siiriz (matimatix) – Jamaikos kreolų anglų" lang="jam" hreflang="jam" data-title="Siiriz (matimatix)" data-language-autonym="Patois" data-language-local-name="Jamaikos kreolų anglų" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%AC%E1%83%99%E1%83%A0%E1%83%98%E1%83%95%E1%83%98_(%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%90)" title="მწკრივი (მათემატიკა) – gruzinų" lang="ka" hreflang="ka" data-title="მწკრივი (მათემატიკა)" data-language-autonym="ქართული" data-language-local-name="gruzinų" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B6%E0%B3%8D%E0%B2%B0%E0%B3%87%E0%B2%A2%E0%B2%BF%E0%B2%97%E0%B2%B3%E0%B3%81_(%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4)" title="ಶ್ರೇಢಿಗಳು (ಗಣಿತ) – kanadų" lang="kn" hreflang="kn" data-title="ಶ್ರೇಢಿಗಳು (ಗಣಿತ)" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kanadų" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EA%B8%89%EC%88%98_(%EC%88%98%ED%95%99)" title="급수 (수학) – korėjiečių" lang="ko" hreflang="ko" data-title="급수 (수학)" data-language-autonym="한국어" data-language-local-name="korėjiečių" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Series_(mathematica)" title="Series (mathematica) – lotynų" lang="la" hreflang="la" data-title="Series (mathematica)" data-language-autonym="Latina" data-language-local-name="lotynų" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Rei_(Mathematik)" title="Rei (Mathematik) – liuksemburgiečių" lang="lb" hreflang="lb" data-title="Rei (Mathematik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="liuksemburgiečių" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Serie_(matematega)" title="Serie (matematega) – lombardų" lang="lmo" hreflang="lmo" data-title="Serie (matematega)" data-language-autonym="Lombard" data-language-local-name="lombardų" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%8A%E0%BA%B8%E0%BA%94%E0%BA%88%E0%BA%B3%E0%BA%99%E0%BA%A7%E0%BA%99" title="ຊຸດຈຳນວນ – laosiečių" lang="lo" hreflang="lo" data-title="ຊຸດຈຳນວນ" data-language-autonym="ລາວ" data-language-local-name="laosiečių" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Rinda_(matem%C4%81tika)" title="Rinda (matemātika) – latvių" lang="lv" hreflang="lv" data-title="Rinda (matemātika)" data-language-autonym="Latviešu" data-language-local-name="latvių" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A0%D0%B5%D0%B4_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Ред (математика) – makedonų" lang="mk" hreflang="mk" data-title="Ред (математика)" data-language-autonym="Македонски" data-language-local-name="makedonų" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B6%E0%B5%8D%E0%B4%B0%E0%B5%87%E0%B4%A3%E0%B4%BF" title="ശ്രേണി – malajalių" lang="ml" hreflang="ml" data-title="ശ്രേണി" data-language-autonym="മലയാളം" data-language-local-name="malajalių" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Siri_(matematik)" title="Siri (matematik) – malajiečių" lang="ms" hreflang="ms" data-title="Siri (matematik)" data-language-autonym="Bahasa Melayu" data-language-local-name="malajiečių" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%B6%E0%A5%8D%E0%A4%B0%E0%A5%87%E0%A4%A3%E0%A5%80" title="श्रेणी – nepaliečių" lang="ne" hreflang="ne" data-title="श्रेणी" data-language-autonym="नेपाली" data-language-local-name="nepaliečių" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Reeks_(wiskunde)" title="Reeks (wiskunde) – olandų" lang="nl" hreflang="nl" data-title="Reeks (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="olandų" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Rekke_(matematikk)" title="Rekke (matematikk) – norvegų bukmolas" lang="nb" hreflang="nb" data-title="Rekke (matematikk)" data-language-autonym="Norsk bokmål" data-language-local-name="norvegų bukmolas" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Szereg_(matematyka)" title="Szereg (matematyka) – lenkų" lang="pl" hreflang="pl" data-title="Szereg (matematyka)" data-language-autonym="Polski" data-language-local-name="lenkų" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/S%C3%A9rie_(matem%C3%A1tica)" title="Série (matemática) – portugalų" lang="pt" hreflang="pt" data-title="Série (matemática)" data-language-autonym="Português" data-language-local-name="portugalų" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Serie_(matematic%C4%83)" title="Serie (matematică) – rumunų" lang="ro" hreflang="ro" data-title="Serie (matematică)" data-language-autonym="Română" data-language-local-name="rumunų" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17437798 badge-goodarticle mw-list-item" title="vertingas straipsnis"><a href="https://ru.wikipedia.org/wiki/%D0%A0%D1%8F%D0%B4_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Ряд (математика) – rusų" lang="ru" hreflang="ru" data-title="Ряд (математика)" data-language-autonym="Русский" data-language-local-name="rusų" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Seri_(matimatica)" title="Seri (matimatica) – siciliečių" lang="scn" hreflang="scn" data-title="Seri (matimatica)" data-language-autonym="Sicilianu" data-language-local-name="siciliečių" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Red_(matematika)" title="Red (matematika) – serbų-kroatų" lang="sh" hreflang="sh" data-title="Red (matematika)" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbų-kroatų" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%85%E0%B6%B4%E0%B6%BB%E0%B7%92%E0%B6%B8%E0%B7%92%E0%B6%AD_%E0%B7%81%E0%B7%8A%E2%80%8D%E0%B6%BB%E0%B7%9A%E0%B6%AB%E0%B7%92" title="අපරිමිත ශ්‍රේණි – sinhalų" lang="si" hreflang="si" data-title="අපරිමිත ශ්‍රේණි" data-language-autonym="සිංහල" data-language-local-name="sinhalų" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Series" title="Series – Simple English" lang="en-simple" hreflang="en-simple" data-title="Series" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Rad_(matematika)" title="Rad (matematika) – slovakų" lang="sk" hreflang="sk" data-title="Rad (matematika)" data-language-autonym="Slovenčina" data-language-local-name="slovakų" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Vrsta_(matematika)" title="Vrsta (matematika) – slovėnų" lang="sl" hreflang="sl" data-title="Vrsta (matematika)" data-language-autonym="Slovenščina" data-language-local-name="slovėnų" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Serit%C3%AB_(matematik%C3%AB)" title="Seritë (matematikë) – albanų" lang="sq" hreflang="sq" data-title="Seritë (matematikë)" data-language-autonym="Shqip" data-language-local-name="albanų" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A0%D0%B5%D0%B4_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Ред (математика) – serbų" lang="sr" hreflang="sr" data-title="Ред (математика)" data-language-autonym="Српски / srpski" data-language-local-name="serbų" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Serie_(matematik)" title="Serie (matematik) – švedų" lang="sv" hreflang="sv" data-title="Serie (matematik)" data-language-autonym="Svenska" data-language-local-name="švedų" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Mfululizo" title="Mfululizo – suahilių" lang="sw" hreflang="sw" data-title="Mfululizo" data-language-autonym="Kiswahili" data-language-local-name="suahilių" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%A4%E0%AF%8A%E0%AE%9F%E0%AE%B0%E0%AF%8D_(%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D)" title="தொடர் (கணிதம்) – tamilų" lang="ta" hreflang="ta" data-title="தொடர் (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="tamilų" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%AD%E0%B8%99%E0%B8%B8%E0%B8%81%E0%B8%A3%E0%B8%A1" title="อนุกรม – tajų" lang="th" hreflang="th" data-title="อนุกรม" data-language-autonym="ไทย" data-language-local-name="tajų" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Seri" title="Seri – turkų" lang="tr" hreflang="tr" data-title="Seri" data-language-autonym="Türkçe" data-language-local-name="turkų" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A0%D1%8F%D0%B4_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Ряд (математика) – ukrainiečių" lang="uk" hreflang="uk" data-title="Ряд (математика)" data-language-autonym="Українська" data-language-local-name="ukrainiečių" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B3%D9%84%D8%B3%D9%84%DB%81_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" title="سلسلہ (ریاضی) – urdų" lang="ur" hreflang="ur" data-title="سلسلہ (ریاضی)" data-language-autonym="اردو" data-language-local-name="urdų" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Qatorlar" title="Qatorlar – uzbekų" lang="uz" hreflang="uz" data-title="Qatorlar" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbekų" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Chu%E1%BB%97i_(to%C3%A1n_h%E1%BB%8Dc)" title="Chuỗi (toán học) – vietnamiečių" lang="vi" hreflang="vi" data-title="Chuỗi (toán học)" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamiečių" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E7%BA%A7%E6%95%B0" title="级数 – kinų kalbos vu tarmė" lang="wuu" hreflang="wuu" data-title="级数" data-language-autonym="吴语" data-language-local-name="kinų kalbos vu tarmė" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%BA%A7%E6%95%B0" title="级数 – kinų" lang="zh" hreflang="zh" data-title="级数" data-language-autonym="中文" data-language-local-name="kinų" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Kip-s%C3%B2%CD%98" title="Kip-sò͘ – kinų kalbos pietų minų tarmė" lang="nan" hreflang="nan" data-title="Kip-sò͘" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="kinų kalbos pietų minų tarmė" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E7%B4%9A%E6%95%B8" title="級數 – kinų kalbos Kantono tarmė" lang="yue" hreflang="yue" data-title="級數" data-language-autonym="粵語" data-language-local-name="kinų kalbos Kantono tarmė" class="interlanguage-link-target"><span>粵語</span></a></li> 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id="contentSub"><div id="mw-content-subtitle"><span class="mw-redirectedfrom">(Nukreipta iš puslapio <a href="/w/index.php?title=Skai%C4%8Di%C5%B3_eilut%C4%97s&redirect=no" class="mw-redirect" title="Skaičių eilutės">Skaičių eilutės</a>)</span></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="lt" dir="ltr"><p><b>Skaičių eilutė</b> – visų begalinės skaičių <a href="/wiki/Seka" title="Seka">sekos</a> narių suma. Sakykime, duota begalinė skaičių seka <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \{a_{n}\}=a_{1},a_{2},...,a_{n},...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false">{</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo fence="false" stretchy="false">}</mo> <mo>=</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \{a_{n}\}=a_{1},a_{2},...,a_{n},...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d4a5642cae928930af8453523546bd90d36021b6" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:24.84ex; height:2.843ex;" alt="{\displaystyle \{a_{n}\}=a_{1},a_{2},...,a_{n},...}"></span> Skaičių eilute vadinsis toks iš jos narių sudarytas reiškinys: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a_{1}+a_{2}+...+a_{n}...=\sum _{n=1}^{\infty }a_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞</mi> </mrow> </munderover> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{1}+a_{2}+...+a_{n}...=\sum _{n=1}^{\infty }a_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eb4c268ded6ce5b9bf4e2cea9637329394153fc7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:28.32ex; height:6.843ex;" alt="{\displaystyle a_{1}+a_{2}+...+a_{n}...=\sum _{n=1}^{\infty }a_{n}}"></span> (1)</dd></dl> <p>Narys <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/790f9209748c2dca7ed7b81932c37c02af1dbc31" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.448ex; height:2.009ex;" alt="{\displaystyle a_{n}}"></span> vadinasi eilutės <b>bendruoju nariu</b>. Sumos, gautos sudėjus pirmuosius eilutės narius, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S_{n}=a_{1}+a_{2}+...+a_{n},n=1,2,...}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>,</mo> <mi>n</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{n}=a_{1}+a_{2}+...+a_{n},n=1,2,...}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/11c006de33081db148a70a523dd082ee95d52064" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:34.951ex; height:2.509ex;" alt="{\displaystyle S_{n}=a_{1}+a_{2}+...+a_{n},n=1,2,...}"></span>, vadinamos <i>dalinėmis sumomis</i>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Eilutės_sumos_sąvoka"><span id="Eilut.C4.97s_sumos_s.C4.85voka"></span>Eilutės sumos sąvoka</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Skai%C4%8Di%C5%B3_eilut%C4%97&veaction=edit&section=1" title="Redaguoti skyrelį: Eilutės sumos sąvoka" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Skai%C4%8Di%C5%B3_eilut%C4%97&action=edit&section=1" title="Edit section's source code: Eilutės sumos sąvoka"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Apskaičiuosime vadinamąsias dalines (1) eilutės sumas: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S_{1}=a_{1},S_{2}=a_{1}+a_{2},S_{3}=a_{1}+a_{2}+a_{3},...,S_{n}=a_{1}+a_{2}+...+a_{n}=\sum _{i=1}^{n}a_{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>,</mo> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>=</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>+</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>+</mo> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>=</mo> <munderover> <mo>∑</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </munderover> <msub> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{1}=a_{1},S_{2}=a_{1}+a_{2},S_{3}=a_{1}+a_{2}+a_{3},...,S_{n}=a_{1}+a_{2}+...+a_{n}=\sum _{i=1}^{n}a_{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f6dcdbf6c8f72c2968171ad45836cb30aa4bd1a9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:77.383ex; height:6.843ex;" alt="{\displaystyle S_{1}=a_{1},S_{2}=a_{1}+a_{2},S_{3}=a_{1}+a_{2}+a_{3},...,S_{n}=a_{1}+a_{2}+...+a_{n}=\sum _{i=1}^{n}a_{i}}"></span></dd></dl> <p>ir sudarome jų seką <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \{S_{n}\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false">{</mo> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \{S_{n}\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3d9c3058ebbbe3cfe046f708620dda9afc57d78f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.968ex; height:2.843ex;" alt="{\displaystyle \{S_{n}\}}"></span>. </p><p>Jei egzistuoja (1) eilutės dalinių sumų sekos <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \{S_{n}\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo fence="false" stretchy="false">{</mo> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \{S_{n}\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3d9c3058ebbbe3cfe046f708620dda9afc57d78f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.968ex; height:2.843ex;" alt="{\displaystyle \{S_{n}\}}"></span> baigtinė <a href="/wiki/Skai%C4%8Di%C5%B3_sekos_riba" class="mw-redirect" title="Skaičių sekos riba">riba</a>, kai <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n\rightarrow \infty }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo stretchy="false">→</mo> <mi mathvariant="normal">∞</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n\rightarrow \infty }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9702f04f2d0e5b887b99faeeffb0c4cfd8263eee" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.333ex; height:1.843ex;" alt="{\displaystyle n\rightarrow \infty }"></span>, t. y. jei <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S=\lim _{n\rightarrow \infty }S_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>S</mi> <mo>=</mo> <munder> <mo movablelimits="true" form="prefix">lim</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo stretchy="false">→</mo> <mi mathvariant="normal">∞</mi> </mrow> </munder> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S=\lim _{n\rightarrow \infty }S_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e81025c43d249864b5c2cc0ec5f2395fb1d1c148" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:11.901ex; height:3.676ex;" alt="{\displaystyle S=\lim _{n\rightarrow \infty }S_{n}}"></span>, tai ši riba S vadinama <b>eilutės suma</b>, o pati eilutė – <b>konverguojančiąja</b>. Kai riba yra begalinė arba neegzistuoja, eilutė vadinama <b>diverguojančiąja</b>. </p> <div class="mw-heading mw-heading2"><h2 id="Šaltiniai"><span id=".C5.A0altiniai"></span>Šaltiniai</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Skai%C4%8Di%C5%B3_eilut%C4%97&veaction=edit&section=2" title="Redaguoti skyrelį: Šaltiniai" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Skai%C4%8Di%C5%B3_eilut%C4%97&action=edit&section=2" title="Edit section's source code: Šaltiniai"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="references-small" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.vle.lt/straipsnis/eilute/">eilutė</a>(parengė Vaclovas Čiočys). <a href="/wiki/Visuotin%C4%97_lietuvi%C5%B3_enciklopedija" title="Visuotinė lietuvių enciklopedija">Visuotinė lietuvių enciklopedija</a> (tikrinta 2024-02-02).</span> </li> </ol> </div> <div class="mw-heading mw-heading2"><h2 id="Nuorodos">Nuorodos</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Skai%C4%8Di%C5%B3_eilut%C4%97&veaction=edit&section=3" title="Redaguoti skyrelį: Nuorodos" class="mw-editsection-visualeditor"><span>redaguoti</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Skai%C4%8Di%C5%B3_eilut%C4%97&action=edit&section=3" title="Edit section's source code: Nuorodos"><span>redaguoti vikitekstą</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://193.219.157.231/Vilkas/Eilutes/Eilutes_uzdav.htm">Uždavinių sprendimo pavyzdžiai iš eilučių teorijos</a><sup><a href="/wiki/Vikipedija:I%C5%A1orin%C4%97s_nuorodos" title="Vikipedija:Išorinės nuorodos">[neveikianti nuoroda]</a></sup>, R. 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