AoPS Wiki:Problem of the Day/September 10, 2011
< AoPS Wiki:Problem of the Day
Revision as of 08:28, 10 September 2011 by Negativebplusorminus (talk | contribs)
Problem
Let 
, 
, and 
. Find the value of the infinite sum ![\[\sum_{n=1}^{\infty}\frac{F_n}{3^n}=\frac{1}{3} + \frac{1}{9} + \frac{2}{27} + \cdots + \frac{F_n}{3^n} + \cdots.\]](http://latex.artofproblemsolving.com/5/6/4/564dc1e566f0529b48bec637e37a44d9e6b10411.png)
Solution
The solution to this problem can be found here or by clicking Discussion under "Page Tools" at left.
