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3 May, 03:10

Find S7 for the geometric series 2 + - 6 + 18 + - 54 + ...

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  1. 3 May, 03:37
    0
    1094

    Step-by-step explanation:

    The sum of terms of a geometric series is given by ...

    Sn = a1· (r^n - 1) / (r - 1)

    You want the sum for ...

    a1 = 2, r = - 3, n = 7

    Filling in the numbers, we get ...

    S7 = 2· ((-3) ^7 - 1) / (-3-1) = 2 (-2188) / (-4)

    S7 = 1094
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