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13 April, 07:29

the common ratio in geometric series is 0.5 and the first term is 256. what is the sum of the first 6 terms in the series?

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  1. 13 April, 11:10
    0
    501.76

    Step-by-step explanation:

    common ratio r = 0.5

    first term a = 256

    sum of G. p = Sn = a (r^n - 1) / r-1

    sum of the first 6 terms =

    S6 = 256 (0.5^6 - 1) / 0.5 - 1

    = 256 (0.0156 - 1) / -0.5

    = 256 (-0.98) / -0.5

    = - 250.88/-0.5

    S6 = 501.76
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