Question

Find the common ratio for this geometric sequence: 72, 12, 2.

A. 1/6
B. 1/2
C. 2
D. 6

Answer 1

D) is the right answer because 72:6=12 and 12:6=2

Answer 2

The common ratio of the geometric sequence 72, 12, 2 is found by dividing 12 by 72, resulting in a common ratio of 1/6.

Step-by-step explanation:

To find the common ratio of a geometric sequence, you divide any term by the previous term. In the sequence given, which is 72, 12, and 2, we can divide the second term (12) by the first term (72) to find the common ratio:

Common ratio = 12 / 72 = 1 / 6

Therefore, the common ratio is 1/6, which is option A.