Consider the series

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

Problem

Consider the series ∑n=0∞8 (0.75) 3n+1\displaystyle\sum_{n=0}^{\infty} 8\,(0.75)^{\,3n+1}. Determine whether the series converges, and if it does, compute its sum.

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