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Question
Find the common ratio of the geometric sequence: 2, 6, 18, 54, . . . (1 point)
The common ratio is
.
Remaining Attempts : 3
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Answer 1

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

In the sequence given: 2, 6, 18, 54, ...

Let's calculate the common ratio (r):

1. Divide the second term by the first term:
   \( r = \frac{6}{2} = 3 \)

2. Divide the third term by the second term:
   \( r = \frac{18}{6} = 3 \)

3. Divide the fourth term by the third term:
   \( r = \frac{54}{18} = 3 \)

In each case, the common ratio r is 3.

Therefore, the common ratio is 3.