Compute the sum of the series .

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Compute the sum of the series ∑n=0∞[3(12)n+4(−13)n]\displaystyle \sum_{n=0}^{\infty} \left[3\left(\dfrac12\right)^{n}+4\left(-\dfrac13\right)^{n}\right]. (a) 1212 (b) 22 (c) 99 (d) −3-3

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