# The value of $i+i^{22}+i^{23}+i^{24}+i^{25}$ is

$\begin{array}{1 1}(1)i&(2)-i\\(3)1&(4)-1\end{array}$

$i^n+i^{+1}+i^{n+2}+i^{+3}=0$
$\therefore i+i^{22}+i^{23}+i^{24}+i^{25}=i+0=i$
Hence 1 is the correct answer
answered May 15, 2014 by