help!

Question

0

469

3

Evaluate the sum $\frac{1}{2^1} + \frac{2}{2^2} + \frac{3}{2^3} + \cdots + \frac{k}{2^k} + \cdots$

Guest May 30, 2021

+33657

+3

Like so:

Alan May 31, 2021

Guest · Answer 1 · 2021-05-30T07:31:19

By telescoping sums, the sum is 5/2.

ElectricPavlov · Answer 2 · 2021-05-30T08:46:20

I know the answer is 2

but I do not know how to derive these equations to a final sum....anyone else?