Question

please provide a very detailed solution

Answer 1

$\tt {\underline{ \underline{ \red{✠Answer:-}}}}$

$\tt{ {i}^{4k} + {i}^{4k + 1} + { i}^{4k + 2} + {i}^{4k + 3} }$

$= \tt{ {i}^{4k + 4k + 1 + 4k + 2 + 4k + 3} }$

$\tt{ = \red{ {i}^{16k + 6} }}$