Get solution: Using a Recursively Defined Series In Exercises 7782, the terms of a

Chapter 9, Problem 82

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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.

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

Text Transcription:

Sum_n=1^infinity a_n

a_1=1/4, a_n+1 = n sqrt a_n

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