Don's new discovery about infinite series!

The figure below will work for any infinite geometric series. We'll look at

Notice some things in the diagram above: The odd powers of 1/5 are tall rectangles, and the even powers are squares, which makes sense. Don flipped the picture above about the axis of symmetry of the big square..

If we now draw a line which connects point A, the upper left corner of the big square, to the upper right corner of each of the smaller squares at C and E, we hit the base of the big square at F and form the triangle AFH.

This triangle will have an area which will be the sum of the infinite series!!

Try to figure out why this works yourself.
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