Identify the infinite geometric series that is convergent.

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

Problem

Identify the infinite geometric series that is convergent. (a) 4−5+254−1258+⋯4-5+\dfrac{25}{4}-\dfrac{125}{8}+\cdots (b) 5−10+20−40+⋯5-10+20-40+\cdots (c) 7+72+74+78+⋯7+\dfrac{7}{2}+\dfrac{7}{4}+\dfrac{7}{8}+\cdots (d) 9+12+16+643+⋯9+12+16+\dfrac{64}{3}+\cdots

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