# Please could you solve this summation?

• May 6th 2010, 10:57 AM
feyomi
Please could you solve this summation?
what is the sum from n=0 to infinity of (1/3)^n ?

Thank you
• May 6th 2010, 11:05 AM
Dinkydoe
This is a typical example of a geometric series:

Geometric series - Wikipedia, the free encyclopedia

$\sum_{k=0}^{\infty}(1/3)^k = \frac{1}{1-\frac{1}{3}}= \frac{3}{2}$