Areas of the infinite sequence of squares

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The accompanying figure shows the first five of an infinite sequence of squares. The outermost square has an area of 16 m2. Each of the
other squares is obtained by joining the midpoint of the sides of the squares before it.

2488_Figure.jpg

Find the sum of the areas of the infinite sequence of squares.

The sum of the areas of the infinite sequence of squares is __ m2.

Reference no: EM131118924

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