AoPS Wiki talk:Problem of the Day/September 5, 2011
Revision as of 12:52, 5 September 2011 by Negativebplusorminus (talk | contribs)
4
Solution
The series
![\[1+\frac{1}{2}+\frac{1}{4}+\cdots\]](http://latex.artofproblemsolving.com/2/1/5/2157cad0cf38e290384bbdeecd3d7f8b3427b3f7.png)
is a geometric series, which famously converges to 2. Thus, since the problem asks for twice this number, the answer is 
.
