Get solution: In Exercises 6972, identify the two series that are the same
Chapter 9, Problem 69(choose chapter or problem)
In Exercises 69-72, identify the two series that are the same.
(a) \(\sum_{n=1}^{\infty} \frac{n 5^{n}}{n !}\)
(b) \(\sum_{n=0}^{\infty} \frac{n 5^{n}}{(n+1) !}\)
(c) \(\sum_{n=0}^{\infty} \frac{(n+1) 5^{n+1}}{(n+1) !}\)
Text Transcription:
sum_n=1 ^infty n5^n / n!
sum_n=0 ^infty n5^n / (n+1)!
sum_n=0 ^infty (n+1)5^n+1 / (n+1)!
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