Which of the following is a geometric sequence?

Students were asked to answer a question at academics and to express what is most important for them to succeed. Of many responses, the one which that stood out was practice. Persons who commonly successful do not become successful by being born. They work hard and dedicate their lives to succeeding. If you want to complete your goals, keep this in mind! the following some question and answer examples that you might possibly implement to upgrade your knowledge and gain insight that will guide you to keep up your school studies.

Question:

Which of the following is a geometric sequence?

Answer:

Answer:

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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From the answer and question examples above, hopefully, they can possibly assist the student solve the question they had been looking for and take notice of the whole thing declared in the answer above. You would certainly then have a discussion with your classmate and continue the school learning by studying the problem as a group.

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