What is the common ratio in the following geometric sequence?
2, 1/2, 1/8, 1/32, . . .
A. 1/2
B. 1/4
C. -1.5
D. 4
The common ratio in a geometric sequence is found by dividing any term in the sequence by its previous term.
In this case, to find the common ratio, we divide any term by its previous term:
(1/2) ÷ 2 = 1/4
(1/8) ÷ (1/2) = 1/4
(1/32) ÷ (1/8) = 1/4
Therefore, the common ratio in this sequence is 1/4.
The correct answer is B. 1/4.