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19 August, 23:46

Find the sum of the geometric sequence series 20-10+5-5/2

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  1. 20 August, 00:02
    0
    = 12.5

    Step-by-step explanation:

    This is equivalent to

    20 * (1 - 1/2 + 1/4 - 1/8 + ...)

    = 20*[ (1 + 1/4 + 1/16 + ...) - (1/2) (1 + 1/4 + 1/18 + ...) ]

    = 10 * (1 + 1/4 + 1/16 + ...)

    = 10 * (4/3) = 40/3 or 13.333 ...

    To check for a gross error, notice that 20 - 10 + 5 - 5/2 = 12.5, so we are certainly in the correct general range (suggesting that my answer is in fact correct).
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