+0  
 
0
103
3
avatar

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
avatar
-1

By telescoping sums, the sum is 5/2.

 May 30, 2021
 #2
avatar+34416 
+1

I know the answer is 2     

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

 May 30, 2021
 #3
avatar+32564 
+3

Like so:

 

 May 31, 2021

16 Online Users

avatar