Mathematics

Mathematics

Problem

Consider the series ∑n=1∞43n+2\displaystyle \sum_{n=1}^{\infty} \frac{4}{3n+2}. Which statement best describes its behavior? a) It converges because the ratio of successive terms is less than 11. b) It converges because its terms approach 00 as n→∞n\to\infty. c) It diverges because its terms are comparable to those of the harmonic series 1n\displaystyle \frac{1}{n}. d) It converges because it can be viewed as a pp-series with p=3>1p=3>1.

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