Answer:
B: Divide by -2
Explanation:
The only logical conclusion would be divide by -2, though that may not be the entire correct answer. Why?
Firstly, the sequence of 8, -4, 2, -1 only follows division by -2. Division by 2 would result in 8, 4, 2 and 1, multiplication by -2 would result in 8, -16, 32, -64, and multiplication by 2 would result in 8, 16, 32 and 64. Hence, the only logical conclusion would be division by -2.
However, this rule breaks down as we go into the fractions. -1 / -2 is 1/2, sure, but (1/2) / -2 should be - 1/4, and not 1/4. Hence, as we go into the fractions, the rule should have changed to division by 2 instead.
The only solution to unite the whole sequence would be to correct 1/4 to -1/4, and maybe OP should check whether that is the case.
Hope this helped!