In Exercises 11 and 12, (a) verify that the series converges. (b) Use a graphing utility
Chapter 9, Problem 11(choose chapter or problem)
Numerical, Graphical, and Analytic Analysis In Exercises 11 and 12, (a) verify that the series converges. (b) Use a graphing utility to find the indicated partial sum \(S_{n}\) and complete the table. (c) Use a graphing utility to graph the first 10 terms of the sequence of partial sums. (d) Use the table to estimate the sum of the series. (e) Explain the relationship between the magnitudes of the terms of the series and the rate at which the sequence of partial sums approaches the sum of the series.
\(\sum_{n=1}^{\infty} n^{2}\left(\frac{5}{8}\right)^{n}\)
Text Transcription:
S_n
sum_n=1 ^infty n^2 (5/8)^n
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