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Evaluate the sum:

\(\frac{1}{2^1} + \frac{2}{2^2} + \frac{3}{2^3} + \cdots + \frac{k}{2^k} + \cdots \)

 Oct 16, 2020
 #1
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sumfor(n, 1, 1000, (n/2^n))=It converges to 2

 

Partial sum formula =2^(-k) * (-k + 2^(k+1) - 2)

 
 Oct 16, 2020

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