Solution: Using a Recursively Defined Series In Exercises 7782, the terms of a series

Chapter 9, Problem 80

(choose chapter or problem)

Using a Recursively Defined Series 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.

\(a_{1}=\frac{1}{5}, a_{n+1}=\frac{\cos n+1}{n} a_{n}\)

Text Transcription:

Sum_n=1^infinity a_n

a_1=1/5, a_n+1 = cos n+1/n a_n

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