Art of Problem Solving
Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

AoPS Wiki talk:Problem of the Day/September 5, 2011

4

Solution

The series \[1+\frac{1}{2}+\frac{1}{4}+\cdots\] is a geometric series, which famously converges to 2. Thus, since the problem asks for twice this number, the answer is $\boxed{4}$.

Retrieved from "https://wiki.aopstest.com/wiki/index.php?title=AoPS_Wiki_talk:Problem_of_the_Day/September_5,_2011&oldid=42142"