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The sequence \(X_n\) is defined as follows: \(X_n=2X_{n-1}-1\) whenever \(n\) is an integer greater than \(1.\) If \(X_1=3,\) what is the value of \(X_{20}-X_{19}?\)
(A) \(2^{16}\)
(B) \(2^{17}\)
(C) \(2^{18}\)
(D) \(2^{19}\)
(E) \(2^{20}\)
Answer: D
Source: Manhattan GMAT
(A) \(2^{16}\)
(B) \(2^{17}\)
(C) \(2^{18}\)
(D) \(2^{19}\)
(E) \(2^{20}\)
Answer: D
Source: Manhattan GMAT
