a1 1, an1 sin n 1 n an

Chapter 9, Problem 79

(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.

\(a_1=1,\ a_{n+1}=\frac{\sin n+1}{\sqrt{n}}a_n\)

Text Transcription:

sum_n=1 ^infty a_n

a_1 = 1, a_n+1 =  sin n+1 / sqrt n a_n

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