Each week Manhattan GMAT posts a 700 level GMAT question on our blog and follows up with the answer the next day. Are you up for the challenge?
Four concentric circles share the same center. The smallest circle has a radius of 1 inch. For n greater than 1, the area of the nth smallest circle in square inches, An, is given by An = An–1 + (2n – 1)
.
What is the sum of the areas of the four circles, divided by the sum of their circumferences, in inches?
(A) 1
(B) 1½
(C) 2
(D) 2½
(E) 3