Determine whether the series converges

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Determine whether the series ∑n=0∞(−3) n+12 2n\displaystyle \sum_{n=0}^{\infty} \frac{(-3)^{\,n+1}}{2^{\,2n}} converges. If it does, state its sum.

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