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# Compute the sum of the geometric series \$-1 + 2 - 4 + 8 - \cdots + 512\$.

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Compute the sum of the geometric series \$-1 + 2 - 4 + 8 - \cdots + 512\$.

Oct 7, 2017

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Sum =F x [1 - R^N] / [1 - R], where F=First term, R=Common ratio, N=Number of terms

Sum =-1 x [1 - (-2^10] / [1 - (-2)]

Sum =-1 x [1 - 1,024] / [3]

Sum =-1 x[ -1023] / 3

Sum = 1,023/3

Sum = 341

Oct 7, 2017