What is the common ratio of the sequence below 2/3, 1/6, 1/24,1/96

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.