Q. If $i = \sqrt{- 1}$ and $n$ is a positive integer, then $i^{n} + i^{n + 1} + i^{n + 2} + i^{n + 3}$ is equal to
A) 1
B) $i$
C) $i^{n}$
D) 0
Explanation
(d)
$i^{n}\left( 1 + i + i^{2} + i^{3} \right) = i^{n}(1 + i - 1 - i) = 0$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.