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27 August, 08:44

Boris is investigating a geometric series with an initial term of 5. Each successive term is - 3 times the previous term. What is the sum of the first 12 terms of this series?

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  1. 27 August, 09:34
    0
    Sum = 1328600

    Step-by-step explanation:

    Givens

    r = - 3 n = 12 a = 5

    Equation

    Sum = a (1 - r^n) / (1 - r)

    Solution

    Sum = 5 (1 - (-3) ^12) / (1 - 3) Sum = 5 (1 - 531441) / - 2 Sum = 5 (-531440) / - 2 Sum = 1328600
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