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?

×

Problem Loading...

Note Loading...

Set Loading...