JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

\omega

is the complex cube root of unity, then the value of

\omega + {\omega ^{\left( {\frac{1}{2} + \frac{3}{8} + \frac{9}{{32}} + \frac{{27}}{{128}} + \ldots } \right)}}

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Correct option: A

- 1

Option A (-1) is correct because the infinite geometric series simplifies to 2, and ω + ω² = -1.

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