The infinite geometric series has sum

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The infinite geometric series ∑n=1∞34n\displaystyle\sum_{n=1}^{\infty}\dfrac{3}{4^{n}} has sum S=1S=1. What is the least positive integer NN for which ∣S−SN∣<0.001|S-S_N|<0.001? (a) 66 (b) 88 (c) 55 (d) 44

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