Consider the two series below

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

Problem

Consider the two series below. Series A: ∑n=0∞3(12)n\displaystyle \sum_{n=0}^{\infty} 3\left(\tfrac12\right)^{n} Series B: ∑n=0∞4(1.1)n\displaystyle \sum_{n=0}^{\infty} 4\left(1.1\right)^{n} Determine which series converges and calculate its sum.

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