Which of the following series is convergent?

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

Problem

Which of the following series is convergent? (a) ∑n=0∞(−3)n2n\displaystyle \sum_{n=0}^{\infty} \dfrac{(-3)^{n}}{2^{n}} (b) ∑n=0∞5(−1)n\displaystyle \sum_{n=0}^{\infty} 5(-1)^{n} (c) ∑n=0∞5(−0.9)n\displaystyle \sum_{n=0}^{\infty} 5(-0.9)^{n} (d) ∑n=0∞4(1.2)n\displaystyle \sum_{n=0}^{\infty} 4(1.2)^{n}

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