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If n in NN ,then find the value of i^n+...

If `n in NN ,`then find the value of `i^n+i^(n+1)+i^(n+2)+i^(n+3)`.

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`i^n+i^n+1+i^n+2+i^n+3 `
`=i^n+i^n cdot i+i^n cdot i^2+i^n cdot i^3`
`=i^n+i^n cdot i+i^n cdot(-1)+i^n cdot(-i)`
`=i^n+i^n cdot i-i^n-i^n cdot i `
=0 ...
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