+0

# help!

0
41
3

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

May 30, 2021

#1
-1

By telescoping sums, the sum is 5/2.

May 30, 2021
#2
+32612
+1

I know the answer is 2

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

May 30, 2021
#3
+32247
+2

Like so:

May 31, 2021