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20 October, 13:56

What is the sum of an infinite geometric series if the first term is 8 and the common ratio is 1⁄2?

A. 8

B. 16

C. 32

D. 4

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Answers (1)
  1. 20 October, 14:25
    0
    B. 16

    Step-by-step explanation:

    The sum is given in terms of the first term a1 and the common ratio r as ...

    S = a1·1 / (1-r)

    Substituting the given values and doing the arithmetic, we find ...

    S = 8 / (1 - 1/2) = 16

    The sum of the series is 16.
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