Solved: The graph shows the first 10 terms of the sequence of partial sums of the

Chapter 9, Problem 96

(choose chapter or problem)

The graph shows the first 10 terms of the sequence of partial sums of the convergent series

\(\sum_{n=1}^{\infty}\left(\frac{2 n}{3 n+2}\right)^{n}\)

Find a series such that the terms of its sequence of partial sums are less than the corresponding terms of the sequence in the figure, but such that the series diverges. Explain your reasoning.

Text Transcription:

sum_n=1 ^infty (2n / 3n+2)^n

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