Half of a Series
Algebra
Level
1
It is well known that
\[ \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \frac{1}{16} + \cdots = 1. \]
Now, the figure on the right shows a square successively divided into half.
\(\)
If we color the successively smaller squares blue, as shown on the left, what fraction of the largest square is shaded blue?
by
Chung Kevin