Difference between revisions of "AoPS Wiki talk:Problem of the Day/September 5, 2011"
(Created page with "4") |
|||
Line 1: | Line 1: | ||
4 | 4 | ||
+ | ==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 is a geometric series, which famously converges to 2. Thus, since the problem asks for twice this number, the answer is .