a1 1 2 , an1 4n 1 3n 2 an

Chapter 9, Problem 77

(choose chapter or problem)

In Exercises 77-82, the terms of a series \(\sum_{n=1}^{\infty} a_{n}\) are defined recursively. Determine the convergence or divergence of the series. Explain your reasoning.

\(a_1=\frac{1}{2},\ a_{n+1}=\frac{4n-1}{3n+2}a_n\)

Text Transcription:

sum_n=1 ^infty a_n

a_1 = 1/2, a_n+1 = 4n-1 / 3n+2 a_n

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