Algebraic Sequences and Series MCQ Test 4

1. What is the 18th term of the geometric sequence: 3, -9, 27, ...?

2. In the geometric sequence 3, 6, 12, ..., what is the common ratio?

3. If the sum of an infinite geometric series is 36 and the common ratio is 2, what is the first term?

4. In the geometric sequence 1, -2, 4, ..., what is the common ratio?

5. If the common ratio of a geometric series is -3 and the first term is 9, find the sum of the first 7 terms.

6. In the arithmetic sequence: 5, 10, 15, ..., what is the 12th term?

7. What is the sum of the first 5 terms of the arithmetic sequence: 3, 7, 11, ...?

8. If the common difference in an arithmetic sequence is -7 and the 8th term is 35, what is the first term?

9. In the geometric sequence 2/3, 2, 6, ..., what is the common ratio?

10. What is the 9th term of the arithmetic sequence: 7, 14, 21, ...?

11. Determine the 10th term of the geometric sequence: 2, 6, 18, ...

12. In the arithmetic sequence 6, 12, 18, ..., what is the 10th term?

13. If the sum of the first 7 terms of a series is 84 and the common difference is 6, what is the first term?

14. Determine the 20th term of the arithmetic sequence: 11, 17, 23, ...

15. If the sum of the first 5 terms of a series is 75 and the common difference is 5, what is the first term?

16. Determine the 11th term of the geometric sequence: 4, 12, 36, ...

17. What is the sum of the series 1 + 3 + 5 + ... + 17?

18. In the geometric sequence 3/2, 3, 6, ..., what is the common ratio?

19. If the sum of the first 10 terms of a series is 450 and the common difference is 5, what is the first term?

20. In the geometric sequence 4, 12, 36, ..., what is the common ratio?