SOLUTION: Let |r| < 1, S = sum_{k=0}^{infty} r^k,and T = sum_{k=0}^{\infty} k r^k. Our approach is to write T as a geometric series in terms of S and r. Give a closed form expression f

Algebra ->  Sequences-and-series -> SOLUTION: Let |r| < 1, S = sum_{k=0}^{infty} r^k,and T = sum_{k=0}^{\infty} k r^k. Our approach is to write T as a geometric series in terms of S and r. Give a closed form expression f      Log On


   



Question 1176766: Let |r| < 1,
S = sum_{k=0}^{infty} r^k,and
T = sum_{k=0}^{\infty} k r^k.
Our approach is to write T as a geometric series in terms of S and r.
Give a closed form expression for T in terms of r.

Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Hint: Distributive Property.

John

My calculator said it, I believe it, that settles it

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