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The sum of the series ∑4/k=0(−1/2)^k

The sum of the series ∑4/k=0(−1/2)^k
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The sum of the series ∑4/k=0(−1/2)^k

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User Jandersen
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1 Answer

3 votes

Answer:

11/16

Explanation:


\sum^(4)_(k=0) (-1/2)^k \\ \\ =(1(1-(-1/2)^5))/(1-(-1/2)) \\ \\ =(33/32)/(3/2) \\ \\ =11/16

The sum of the series ∑4/k=0(−1/2)^k-example-1
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User Abhinsit
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