Now solved: In Exercises 6972, identify the two series that are the same

Chapter 9, Problem 70

(choose chapter or problem)

In Exercises 69-72, identify the two series that are the same.

(a) \(\sum_{n=4}^{\infty} n\left(\frac{3}{4}\right)^{n}\)

(b) \(\sum_{n=0}^{\infty}(n+1)\left(\frac{3}{4}\right)^{n}\)

(c) \(\sum_{n=1}^{\infty} n\left(\frac{3}{4}\right)^{n-1}\)

Text Transcription:

sum_n=4 ^infty n (3/4)^n

sum_n=0 ^infty (n+1) (3/4)^n

sum_n=1 ^infty n(3/4)^n-1

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