# Which of the following is a geometric sequence?

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## Question:

Which of the following is a geometric sequence? Option C. is a geometric sequence in which the common ratio is 3.

Step-by-step explanation:

In geometric sequence, the the ratio between two consecutive numbers is the same.

Now, consider the first case. The given sequence is .

In the above sequence, The ratios between consecutive numbers are: So, the ratio between two consecutive numbers is not the same and hence, it is not a geometric sequence.

Now, consider the second case. The given sequence is . So, the ratio between two consecutive numbers is not the same and hence, it is not a geometric sequence.

Now, consider the third case. The given sequence is . So, the ratio between two consecutive numbers is the same and hence, it is  a geometric sequence.

Now, consider the fourth case. The given sequence is . So, the ratio between two consecutive numbers is not the same and hence, it is not a geometric sequence.

Therefore, option C. is a geometric sequence in which the common ratio is 3.

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