Find the value of : i+i^2+i^3+i^4 - Vidyadip

Question

Find the value of : $i+i^2+i^3+i^4$

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Answer

$\begin{aligned} & i+i^2+i^3+i^4 \\ & =i+i^2+i^2 \cdot i+i^4 \\ & =i-1-i+1\left[\because i^2=-1, i^4=1\right] \\ & =0\end{aligned}$

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