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Σ (d/2)(1/2) ^ n-1

n=1

 Jun 16, 2017
 #1
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sum_(n=1)^∞ 1/2 d (1/2)^(n - 1) = d

By the geometric series test, the series converges to d.

 Jun 16, 2017
 #2
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because n=1 the answer would be 1 because 1-1=0 and anything to the power of 0=1.

 Jun 16, 2017
edited by Guest  Jun 16, 2017

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