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If $i=\sqrt{-1}$ and $n$ is a positive integer, then $i^n+i^{n+1}+i^{n+2}+i^{n+3}$ is euqal to
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$$
\text { Hints : } \dot{i}^n\left(1+\dot{i}+\dot{i}^2+\dot{i}^3\right)=\dot{i}^n(1+\dot{i}-1-\hat{i})=0
$$
\text { Hints : } \dot{i}^n\left(1+\dot{i}+\dot{i}^2+\dot{i}^3\right)=\dot{i}^n(1+\dot{i}-1-\hat{i})=0
$$
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