31. Determine whether the sequence 7, 21, 35, 49 is geometric. If so, find its common ratio.

a. no
b. yes, common ratio of 14
c. yes, common ratio of 12

B?

Thanks
-MC

I say A. This is not a geometric sequence. It's arithmetic.

Thanks!

-MC

first four terms of a sequence that begins with 2000 and has the common ratio of 1.05.

To determine whether a sequence is geometric or not, we need to check if there is a common ratio between consecutive terms.

In this case, let's look at the ratios between consecutive terms:

21/7 = 3
35/21 ≈ 1.6667
49/35 ≈ 1.4

The ratios between consecutive terms are not constant, so the sequence is not geometric.

Therefore, the correct answer is option a. no.