Answer:
As we proved, the common ratio of the sequence is 1/4.
Step-by-step explanation:
Let's find the common ratio of the sequence, this way:
A. What number modifies 2/3 into 1/6?
1/6 ÷ 2/3 =
1/6 * 3/2 = (flipping the reciprocal when we change from division to multiplication)
3/12 = 1/4
B. What number modifies 1/6 into 1/24?
1/24 ÷ 1/6 =
1/24 * 6/1 = (flipping the reciprocal when we change from division to multiplication)
6/24 = 1/4
C. What number modifies 1/24 into 1/96?
1/96 ÷ 1/24 =
1/96 * 24/1 = (flipping the reciprocal when we change from division to multiplication)
24/96 = 1/4
As we proved, the common ratio of the sequence is 1/4.
