60. A square, S1, has a perimeter of 40 inches. The vertices of a second square, S2 are the midpoints of the sides of S1, The vertices of a third square, S3, are the midpoints of the sides of S2, Assume the process continues indefinitely, with the vertices of Sk+1 being the midpoints of the sides of Sk for every positive integer k. What is the sum of the areas, in square inches, of S1, S2, S3, …?
