Question

Find the common ratio (r) for the geometric sequence and use (r) to find the next three terms: 972, 324, 108, 36.

a. (r = 1/3), Next three terms: 12, 4, (4/3)
b. (r = 3), Next three terms: 12, 36, 108
c. (r = 1/3), Next three terms: 12, (4/3), (16/9)
d. (r = 3), Next three terms: 12, (36/3), (108/9)

Answer 1

The common ratio (r) for the geometric sequence is 1/3. The next three terms are 12, 4, and (4/3).

Step-by-step explanation:

To find the common ratio (r) for the geometric sequence, we need to find the ratio between consecutive terms. We divide each term by the previous term to find r. For the given sequence, by dividing each term by the previous term, we find that r = 1/3.

To find the next three terms, we multiply each term by r.

The next three terms are: 12, 4, (4/3).