a1 1 4 , an1 n an

Chapter 9, Problem 82

(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.

\(a_1=\frac{1}{4},\ a_{n+1}=\sqrt[n]{a_n}\)

Text Transcription:

sum_n=1 ^infty a_n

a_1 = 1/4, a_n+1 =  nth root a_n

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