Question

What is the common ratio in the following geometric sequence?

2, 12
, 18
, 132
, . . .

(1 point)
Responses

4
4

−1.5
negative 1.5

12
Start Fraction 1 over 2 End Fraction

14

Answer 1

To find the common ratio in a geometric sequence, you can divide any term by the previous term.

Let's take the first two terms of the sequence, which are 2 and 12:

Common ratio (r) = 12 / 2 = 6.

Now let's check one more pair to confirm it's a geometric sequence:

Next, take the second and third terms, which are 12 and 18:

Common ratio (r) = 18 / 12 = 1.5.

Finally, check the third and fourth terms, which are 18 and 132:

Common ratio (r) = 132 / 18 = 7.33.

As we can see, the ratio is not consistent throughout this sequence, indicating that it is not a geometric sequence. It appears there may be confusion with the given terms. The ratios computed here do not correspond to a consistent common ratio. Please double-check the sequence given.