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5 November, 09:18

What is the sum of the first seven terms of the geometric series? 3 + 12 + 48 + 192 + ...

a. 4,372

b. 12,288

c. 16,383

d. 65,535

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Answers (1)
  1. 5 November, 09:48
    0
    We know that:

    a = 3

    r = 4

    n = 7

    Now we can use this Formula to figure out the sum of the first seven terms in this Geometric Series:

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

    S (7) = (3) ((4) ^ (7) - 1) / (4) - 1

    S (7) = 16383

    Therefore, C. 16,383 is the correct answer.
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