The value of sum $\mathop \sum \limits_{n = 1}^{13} \left( {{i^n} + {i^{n + 1}}} \right)$, where $i = \sqrt { - 1} $, equals

JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

The value of sum

\sum \limits_{n = 1}^{13} \left( {{i^n} + {i^{n + 1}}} \right)

, where

i = \sqrt { - 1}

, equals

View answer and explanation

Correct option: B

i - 1

Option B (

i - 1

) is correct because the sum simplifies to

i^{13} + i^{14}

which equals

i - 1

due to the cyclic nature of powers of i.

Practice All Chapter MCQs →

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