2, -4, 8,...

The first term of the sequence above is 2, and every term after he first term is -2 times the preceding term. How many of the first 50 terms of this sequence are less than 100?

(A) 22
(B) 25
(C) 28
(D) 30
(E) 37

1 answer

2 -4 8 -16 32 -64 128 -256 ....
all negative terms are <100
plus the first three positive terms
so 25 + 3 = 28