Question

What is the common ratio in the following geometric sequence? 2, 12, 18, 132, . . .

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the common ratio in a geometric sequence, we divide any term in the sequence by its previous term. Let's divide the second term, 12, by the first term, 2: 12 ÷ 2 = 6. Now let's divide the third term, 18, by the second term, 12: 18 ÷ 12 = 1.5. Continuing this pattern, let's divide the fourth term, 132, by the third term, 18: 132 ÷ 18 = 7.2. Since the results are not consistent, there is no common ratio in this sequence.