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The value of \(\sum_{n=1}^{13}\left(i^{n}+i^{n+1}\right), i=\sqrt{-1}\), is
(A) i
(B) \(i-1\)
(C) 1
(D) 0

Ans(B)

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Ans: (B)
\(: \sum_{n=1}^{13}\left(i^{n}+i^{n+1}\right)=i-1\)
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