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

Question

Find the value of

$i+i^2+i^3+i^4$

✓

Answer

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

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