Use a graphing utility to find the indicated partial sum and complete the table. Then
Chapter 9, Problem 49(choose chapter or problem)
Numerical and Graphical Analysis Use a graphing utility to find the indicated partial sum \(S_{n}\) and complete the table. Then use a graphing utility to graph the first 10 terms of the sequence of partial sums. For each series, compare the rate at which the sequence of partial sums approaches the sum of the series.
(a) \(\sum_{n=1}^{\infty} 3\left(\frac{1}{5}\right)^{n-1}=\frac{15}{4}\) (b) \(\sum_{n=1}^{\infty} \frac{1}{n^{2}}=\frac{\pi^{2}}{6}\)
Text Transcription:
S_n
sum_n=1 ^infty 3(1/5)^n-1 = 15/4
sum_n=1 ^infty 1/n^2 = pi^2 / 6
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