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5 March, 15:57

What is the sum of the geometric sequence - 4, 24, - 144, ... if there are 7 terms? A) 308,829 B) - 159,964 C) - 411,772 D) 119,973.

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  1. 5 March, 17:39
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    Sum of the geometric sequence:

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

    a = - 4 (the 1st term of the sequence), r = - 6, n = 7

    S 7 = ( - 4) * (1 - ( - 6) ^7) / 1 - ( - 6) = ( - 4) * 279937 / 7 = - 159,964

    Answer: B)
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