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.