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Math Geometric Series

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Evaluate this geometric series:
7 + 14 + 28 + ... + 3584

  • Math Geometric Series -

    S = 7 + 14 + 28 + ... + 3584

    2 S = 2 (7 + 14 + 28 + ...1792 + 3584) =

    2*7 + 2*14 + +...+ 2* 1792 + 2*3584 =

    14 + 28 + ...+ 3584 + 7168 =

    S - 7 + 7168 = S + 7161

    2S = S + 7161 --------->

    S = 7161

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