SAT Sequences and Series

Algebra Level 1

\[6,8,12,20, \ldots\]

The first term in the sequence above is \(6\). Each successive term is obtained by multiplying the preceding term by \(x\) and subtracting \(y\) from the result. If \(x\) and \(y\) are constant integers, what is the value of \(y\)?

(A) \(\ \ 2\)
(B) \(\ \ 4\)
(C) \(\ \ 16\)
(D) \(\ \ 36\)
(E) \(\ \ 52\)

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