SAT Sequences and Series

Algebra Level 1

6,8,12,20,6,8,12,20, \ldots

The first term in the sequence above is 66. Each successive term is obtained by multiplying the preceding term by xx and subtracting yy from the result. If xx and yy are constant integers, what is the value of yy?

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

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