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Common Ratio Mastery Quiz

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1. What is the common ratio in the geometric sequence 3, 6, 12, 24?

2. If the first term of a geometric sequence is 5 and the common ratio is 3, what is the third term?

3. What must be the common ratio of a geometric sequence if the sequence is increasing and each term is positive?

4. In a geometric sequence, if the fourth term is 32 and the common ratio is 2, what is the first term?

5. Which of the following is an example of a geometric sequence?

6. A geometric sequence has a common ratio of $ rac{1}{2}$. If the first term is 64, what is the fifth term?

7. If a geometric sequence has a common ratio of -2 and the first term is 3, what is the nature of the sequence?

8. What is the sum of the first 4 terms of a geometric sequence with a first term of 1 and a common ratio of 2?

9. In a geometric progression, if the sum of the first three terms is 14 and the common ratio is 2, what is the first term?

10. Which term of a geometric sequence with a first term of 5 and a common ratio of 3 will be 1215?