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27 October, 01:58

Find S8 for the series - 2 + - 10 + - 50 + - 250 + ...

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  1. 27 October, 03:43
    0
    39062.5

    Step-by-step explanation:

    -2+-10+-50+-250

    -10/2=-250/-50 = 5

    sum of the geometric sequence

    Sₙ = arⁿ⁻¹ / r-1 a=-2, r = 5

    S₈ = - 2 (5) ⁸⁻¹ / (5-1) = 2 (5⁷) / 4 = 2 (78125) / 4 = 78125/2 = 39062.5

    S₈=39062.5
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