The sequence \(a_1, a_2, \ldots, a_n,\ldots\) is such that \(a_n=2a_{n-1}-x\) for all positive integers \(n \ge 2\) and

[M7MBA]

The sequence \(a_1, a_2, \ldots, a_n,\ldots\) is such that \(a_n=2a_{n-1}-x\) for all positive integers \(n \ge 2\) and for certain number \(x.\) If \(a_5=99\) and \(a_3=27,\) what is the value of \(x?\)

A. 3
B. 9
C. 18
D. 36
E. 45

Answer: A

Source: Official Guide