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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 a and r .

Give a closed form expression for T in terms of r.

 
waffles  Feb 9, 2018
edited by waffles  Feb 10, 2018
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