Finding the Sum of a Series Use the results of Exercises 3538 to find the sum of each

Chapter 9, Problem 40

(choose chapter or problem)

Use the results of Exercises 35 - 38 to find the sum of each series.

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

(b) \(\frac{1}{10} \sum_{n=1}^{\infty} n\left(\frac{9}{10}\right)^{n}\)

Text Transcription:

1 / 3 sum_{n = 1}^{infty} n(2 / 3)^n

1 / 10 sum_{n = 1}^{infty} n(9 / 10)^{n})

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