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Determine the next three terms in the following sequence:
-1, 1/2, -1/4, 1/8, __, __, __,….

A. 1/12, 1/24, 1/48
B. 1/16, 1/32, 1/64
C. -1/16, 1/32, -1/64
D. -1/12, 1/24, -1/48