If and n is a positive integer, then is equal to

Maths Complex Number Complex Numbers (Basi & Iota) Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Text Solution

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The correct answer is:

i n + i n+1 + i n+2 + i n+3 = i n [1 + i + i 2 + i 3 ]

= i n [1 + i + (–1) + (–i)] = 0

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