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7 February, 15:43

What is the sum of an infinite geometric series if the first term is 156 and the common ratio is 2⁄3? A. 260 B. 468 C. 234 D. 208

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  1. 7 February, 18:11
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    S = a0 / (1 - r)

    S is the sum

    a0 is the first term

    r is the ration

    The sum is 2, and the first term is 0.5, so plug in what you know and see what you come up with:

    2 = 0.5 / (1 - r)

    That's an equation you can solve:

    2 (1 - r) = 0.5

    1 - r = 0.5 / 2 = 0.25

    0.75 - r = 0

    0.75 = r

    Ratio is 0.75.
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