For each positive integer k, let ak=1+(1/(k+1)). Is the product a1a2…an an integer?
(1) n + 1 is a multiple of 3.
(2) n is a multiple of 2.
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) EACH statement ALONE is sufficient.
E) Statements (1) and (2) TOGETHER are not sufficient.