{"id":5797,"date":"2025-07-15T13:34:44","date_gmt":"2025-07-15T13:34:44","guid":{"rendered":"https:\/\/functiontranslator.com\/seriessum-funkce\/"},"modified":"2021-02-26T10:03:00","modified_gmt":"2021-02-26T10:03:00","slug":"seriessum","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/cs\/seriessum\/","title":{"rendered":"SERIESSUM"},"content":{"rendered":"

\u00davod do pr\u00e1ce s funkc\u00ed pro sumaci \u0159ady<\/h2>\n

Funkce SERIESSUM je v Excelu a Google Sheets vynikaj\u00edc\u00edm n\u00e1strojem pro v\u00fdpo\u010det sumy mocninn\u00fdch \u0159ad. Tato funkce umo\u017e\u0148uje vypo\u010d\u00edtat sumu \u0159ady, kde ka\u017ed\u00fd \u010dlen je tvo\u0159en koeficientem a mocninou prom\u011bnn\u00e9 x. Tento typ v\u00fdpo\u010dtu se \u010dasto vyu\u017e\u00edv\u00e1 v oblastech jako matematick\u00e1 statistika, fyzika, in\u017een\u00fdrstv\u00ed nebo ekonomie.<\/p>\n

Syntaxe a p\u0159\u00edklady<\/h2>\n

Syntaxe funkce SERIESSUM je n\u00e1sleduj\u00edc\u00ed:<\/p>\n

SERIESSUM(x, n, m, koeficienty)<\/code><\/pre>\n
    \n
  • x<\/strong> – hodnota prom\u011bnn\u00e9 x v \u0159ad\u011b.<\/li>\n
  • n<\/strong> – exponent prvn\u00edho \u010dlenu \u0159ady.<\/li>\n
  • m<\/strong> – krok pro zvy\u0161ov\u00e1n\u00ed exponentu u ka\u017ed\u00e9ho dal\u0161\u00edho \u010dlenu.<\/li>\n
  • koeficienty<\/strong> – pole koeficient\u016f \u0159ady.<\/li>\n<\/ul>\n
    P\u0159\u00edklad: Pokud chceme vypo\u010d\u00edtat sumu \u0159ady 2 + 3*x^1 + 5*x^2, pou\u017eijeme tyto hodnoty:<\/p>\n
      \n
    • x = x<\/li>\n
    • n = 0 (exponent prvn\u00edho \u010dlenu)<\/li>\n
    • m = 1 (exponent se zvy\u0161uje o 1 u ka\u017ed\u00e9ho dal\u0161\u00edho \u010dlenu)<\/li>\n
    • koeficienty = {2, 3, 5}<\/li>\n<\/ul>\n
      =SERIESSUM(x, 0, 1, {2, 3, 5})<\/code><\/pre>\n
      Praktick\u00e9 p\u0159\u00edklady vyu\u017eit\u00ed<\/h2>\n
      P\u0159\u00edklad 1: V\u00fdpo\u010det polynomu<\/h2>\n
      P\u0159edpokl\u00e1dejme, \u017ee pot\u0159ebujeme vypo\u010d\u00edtat hodnotu polynomu 2 + 3*x + 5*x^2 v bod\u011b x = 2.<\/p>\n
      =SERIESSUM(2, 0, 1, {2, 3, 5})<\/code><\/pre>\n
      V\u00fdsledek: 2 + 3*2^1 + 5*2^2 = 2 + 6 + 20 = 28<\/code><\/p>\n
      P\u0159\u00edklad 2: Aproximace e^x pomoc\u00ed Taylorovy \u0159ady<\/h2>\n
      Taylorova \u0159ada pro e^x se definuje jako sumace (x^i)\/i!, kde i = 0, 1, 2, …, n. P\u0159edpokl\u00e1dejme, \u017ee chceme vypo\u010d\u00edtat e^1 s prvn\u00edmi 5 \u010dleny \u0159ady.<\/p>\n
      =SERIESSUM(1, 0, 1, {1, 1\/1!, 1\/2!, 1\/3!, 1\/4!})<\/code><\/pre>\n
      V\u00fdsledek aproximace je: 1 + 1\/1! + 1\/2! + 1\/3! + 1\/4! = 1 + 1 + 0.5 + 0.166666 + 0.0416667 \u2248 2.70833<\/code><\/p>\n
      Tyto p\u0159\u00edklady ilustruj\u00ed, jak funkce SERIESSUM m\u016f\u017ee b\u00fdt efektivn\u011b vyu\u017eita pro \u0159e\u0161en\u00ed praktick\u00fdch \u00faloh v r\u016fzn\u00fdch discipl\u00edn\u00e1ch. Je z\u00e1sadn\u00ed spr\u00e1vn\u011b definovat vstupn\u00ed parametry pro z\u00edsk\u00e1n\u00ed korektn\u00edch v\u00fdsledk\u016f.<\/p>\n","protected":false},"excerpt":{"rendered":"
      Vr\u00e1t\u00ed sou\u010det mocninn\u00e9 \u0159ady ur\u010den\u00e9 podle\u00a0vzorce<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[282],"tags":[],"class_list":["post-5797","post","type-post","status-publish","format-standard","hentry","category-matematicke-a-trigonometricke"],"acf":[],"yoast_head":"\nFunkce SERIESSUM v Excelu: jak funguje, primjeri kori\u0161tenja formule<\/title>\n<meta name=\"description\" content=\"Opis funkcije SERIESSUM u Excelu i Google tablicama. 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