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29 May, 17:03

What is the sum of the geometric sequence 1, 4, 16, ... if there are 8 terms?

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  1. 29 May, 19:46
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    The sum of geometric sequence:

    S n = a 1 * (q^n - 1) / (q - 1)

    where: a 1 = 1,

    q = a 2 : a 1 = 4 : 1 = 4

    S 8 = 1 * (4^ (8) - 1) / (4 - 1) =

    = (65,536 - 1) / (4 - 1) = 65,535 / 3 = 21,845
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