Each week Manhattan GMAT posts a GMAT question on our blog and follows up with the answer the next day. Are you up for the challenge?
For any given x and any positive integer n, the nth term in sequence S is defined by the equation Sn(x) = x2n – 1. The product of all terms in sequence S from S1(x) through Sk(x) for any positive integer k is equal to x raised to what power?
(A) k
(B) 2k – 1
(C) 2k
(D) (k2 + 1)/2
(E) k2