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\(S_n=2S_{n-1}+4\) and \(Q_n=4Q_{n-1}+8\) for all \(n > 1.\) If \(S_5=Q_4\) and \(S_7=316,\) what is the first value of \(n\) for which \(Q_n\) is an integer?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Answer: C
Source: Manhattan GMAT
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
Answer: C
Source: Manhattan GMAT
