The sequence \(S\) is defined by \(S_n=2(S_{n-1})-4\) for each integer \(n \ge 2.\) If \(S_1=6,\) what is the value of

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The sequence \(S\) is defined by \(S_n=2(S_{n-1})-4\) for each integer \(n \ge 2.\) If \(S_1=6,\) what is the value of \(S_5?\)

(A) -20
(B) 16
(C) 20
(D) 24
(E) 36

Answer: E

Source: Manhattan GMAT