{"id":11110,"date":"2025-07-15T13:34:51","date_gmt":"2025-07-15T13:34:51","guid":{"rendered":"https:\/\/functiontranslator.com\/somaserie\/"},"modified":"2021-02-25T17:29:00","modified_gmt":"2021-02-25T17:29:00","slug":"seriessum","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/pt-pt\/seriessum\/","title":{"rendered":"SOMAS\u00c9RIE"},"content":{"rendered":"

A fun\u00e7\u00e3o SOMAS\u00c9RIE<\/strong> do Excel e do Google Planilhas \u00e9 empregada para calcular a soma de uma s\u00e9rie de termos que obedecem a uma certa progress\u00e3o potencial. Essa fun\u00e7\u00e3o \u00e9 extremamente \u00fatil em uma ampla variedade de campos como finan\u00e7as, estat\u00edstica e engenharia. A seguir, apresentamos uma descri\u00e7\u00e3o detalhada e alguns exemplos pr\u00e1ticos do uso desta funcionalidade.<\/p>\n

Sintaxe e descri\u00e7\u00e3o<\/h2>\n

A fun\u00e7\u00e3o SOMAS\u00c9RIE<\/code> possui a seguinte sintaxe:<\/p>\n

SOMAS\u00c9RIE(x, n, m, a1, a2, ..., an)<\/code><\/pre>\n
    \n
  • x:<\/strong> Representa a base da s\u00e9rie, o valor que ser\u00e1 elevado a uma determinada pot\u00eancia.<\/li>\n
  • n:<\/strong> Refere-se \u00e0 pot\u00eancia inicial \u00e0 qual a base ser\u00e1 elevada.<\/li>\n
  • m:<\/strong> Indica o incremento que ser\u00e1 aplicado \u00e0 pot\u00eancia a cada novo termo da s\u00e9rie.<\/li>\n
  • a1, a2, …, an:<\/strong> S\u00e3o os coeficientes que multiplicam os termos da s\u00e9rie.<\/li>\n<\/ul>\n
    Por exemplo:<\/p>\n
    =SOMAS\u00c9RIE(2, 0, 1, 1, 2, 3)<\/code><\/pre>\n
    Este exemplo resulta no c\u00e1lculo de 1*2^0 + 2*2^1 + 3*2^2.<\/p>\n
    Exemplos pr\u00e1ticos de aplica\u00e7\u00e3o<\/h2>\n
    Calculando o valor futuro de uma s\u00e9rie de pagamentos<\/h2>\n
    Considere o c\u00e1lculo do valor futuro de uma s\u00e9rie de pagamentos anuais de R$10.000, com uma taxa de juros composta de 5%. A fun\u00e7\u00e3o SOMAS\u00c9RIE<\/code> pode ser utilizada para determinar o montante acumulado ap\u00f3s 3 anos:<\/p>\n
    =SOMAS\u00c9RIE(1.05, 3, -1, 10000, 10000, 10000)<\/code><\/pre>\n
    Neste exemplo, utilizamos 1,05 (1 mais 5%) como a base, e o expoente inicia em 3, decrescendo a cada termo subsequente.<\/p>\n\n\n\n\n\n
    Termos<\/td>\nCalculo Individual<\/td>\nResultado<\/td>\n<\/tr>\n
    10.000 * 1.05^3<\/td>\n10.000 * 1.157625<\/td>\n11576.25<\/td>\n<\/tr>\n
    10.000 * 1.05^2<\/td>\n10.000 * 1.1025<\/td>\n11025.00<\/td>\n<\/tr>\n
    10.000 * 1.05^1<\/td>\n10.000 * 1.05<\/td>\n10500.00<\/td>\n<\/tr>\n<\/table>\n
    Ao somarmos todos esses valores, obtemos um total de 33101.25.<\/p>\n
    An\u00e1lise de s\u00e9ries de Fourier<\/h2>\n
    Na engenharia e f\u00edsica, as s\u00e9ries de Fourier permitem a decomposi\u00e7\u00e3o de fun\u00e7\u00f5es peri\u00f3dicas em somas de senos e cossenos. A fun\u00e7\u00e3o SOMAS\u00c9RIE<\/code> pode ser utilizada para determinar o valor de uma fun\u00e7\u00e3o peri\u00f3dica em um ponto espec\u00edfico. Por exemplo, para calcular a fun\u00e7\u00e3o f(x) = 1 + 2cos(x) + 3cos(2x) quando x = \u03c0\/4:<\/p>\n
    =SOMAS\u00c9RIE(PI()\/4, 0, 1, 1, 2*COS(PI()\/4), 3*COS(PI()\/2))<\/code><\/pre>\n
    Neste caso, a fun\u00e7\u00e3o SOMAS\u00c9RIE<\/code> \u00e9 combinada com fun\u00e7\u00f5es trigonom\u00e9tricas para se obter o resultado desejado.<\/p>\n
    Esperamos que estes exemplos tenham demonstrado como a fun\u00e7\u00e3o SOMAS\u00c9RIE<\/strong> pode ser uma ferramenta poderosa e flex\u00edvel, adequada para diversos tipos de c\u00e1lculos envolvendo s\u00e9ries.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devolve a soma de uma s\u00e9rie polinomial baseada na f\u00f3rmula<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[437],"tags":[],"class_list":["post-11110","post","type-post","status-publish","format-standard","hentry","category-matematica-e-trigonometria"],"acf":[],"yoast_head":"\nFun\u00e7\u00e3o SERIESSUM (SOMAS\u00c9RIE) no Excel \u2013 como funciona, exemplos e sintaxe<\/title>\n<meta name=\"description\" content=\"Breve descri\u00e7\u00e3o da fun\u00e7\u00e3o SERIESSUM (SOMAS\u00c9RIE) do Excel. 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