The accompanying figure shows the first five of a sequence of squares The outermost square has an area of 4 m 2 Each of the other squares is obtained by joining the midpoints of the sides of the squares before it Find the sum of the areas of all the squares ...

Let S be the sum of the areas of all the squares Then S ...

The accompanying figure shows the first five of a sequence of squares. The outermost square has an

Question:

The accompanying figure shows the first five of a sequence of squares. The outermost square has an area of 4 m². Each of the other squares is obtained by joining the midpoints of the sides of the squares before it. Find the sum of the areas of all the squares.