## A Sequence of Circles

I have an infinite number of circles. The first one has radius r. The second has radius r/2. The third has radius r/4, and so on.

I

What is the sum of the perimeters of all my squares?

I

**also**have an infinite number of squares, each of which has area equal to the area of the corresponding circle.What is the sum of the perimeters of all my squares?

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X, Y, and Z

Fractional Infinite Series

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