Find the value of the sum -n-15in-in-2- where i-1

∑_n=1^5(i^n+i^n+2)=∑_n=1^5(i^n+i^n.i^2)=∑_n=1^5(i^n+i^n.( 1))=∑_n=1^5(0)=0 ...

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Find the valu...

Question

Find the value of the sum $5 \sum n = 1 (i^{n} + i^{n + 2})$ , where $i = \sqrt{- 1}$

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