Question:medium

If \(\omega\) is the complex cube root of unity, then the value of \[ \omega+\omega\!\left(\frac12+\frac38+\frac{9}{32}+\frac{27}{128}+\cdots\right) \] is

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Always use \(1+\omega+\omega^2=0\) for cube roots of unity.

Updated On: Mar 23, 2026

\(-1\)
\(1\)
\(-i\)
\(i\)

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The Correct Option is A

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