Difference between revisions of "AoPS Wiki talk:Problem of the Day/September 5, 2011"
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| + | ==Solution== | ||
| + | The series | ||
| + | <cmath>1+\frac{1}{2}+\frac{1}{4}+\cdots</cmath> | ||
| + | is a geometric series, which famously converges to 2. Thus, since the problem asks for twice this number, the answer is <math>\boxed{4}</math>. | ||
Revision as of 12:52, 5 September 2011
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 
.
