Algebraic Sequences and Series MCQ Test: Algebraic Sequences and Series MCQs - Practice Questions
1. In the arithmetic sequence 13, 17, 21, ..., what is the 25th term?
2. What is the 15th term of the arithmetic sequence: 3, 6, 9, ...?
3. Find the sum of the series 7 + 14 + 21 + ... up to the 12th term.
4. What is the 10th term of the geometric sequence: 2, 6, 18, ...?
5. In the geometric sequence 8, 4, 2, ..., what is the common ratio?
6. What is the 22nd term of the arithmetic sequence: 9, 15, 21, ...?
7. If the common ratio of a geometric series is -3 and the first term is 9, find the sum of the first 7 terms.
8. In the arithmetic sequence 6, 12, 18, ..., what is the 10th term?
9. What is the sum of the first 5 terms of the arithmetic sequence: 3, 7, 11, ...?
10. If the common difference in an arithmetic sequence is -7 and the 8th term is 35, what is the first term?
11. In the geometric sequence 3, 6, 12, ..., what is the common ratio?
12. What is the 8th term of the arithmetic sequence: 12, 16, 20, ...?
13. If the sum of the first 5 terms of a series is 75 and the common difference is 5, what is the first term?
14. What is the sum of the series 4 + 8 + 12 + ... + 40?
15. If the sum of the series 8 + 15 + 22 + ... + 106 is calculated, what is the result?
16. Determine the 11th term of the geometric sequence: 4, 12, 36, ...
17. In the geometric sequence 6, 3, 3/2, ..., what is the common ratio?
18. Determine the 20th term of the arithmetic sequence: 11, 17, 23, ...
19. In the geometric sequence 2/3, 2, 6, ..., what is the common ratio?
20. If the sum of the series 5 + 10 + 15 + ... up to the 10th term is calculated, what is the result?
21. Find the sum of the geometric series: 3 + 9 + 27 + ... up to the 8th term.
22. Find the product of the first 5 terms of the geometric sequence: 2, 4, 8, ...
23. If the sum of the geometric series 6 + 12 + 24 + ... is calculated, what is the result?
24. In the geometric sequence 1, -2, 4, ..., what is the common ratio?
25. Find the sum of the series 8 + 16 + 32 + ... up to the 7th term.
26. In the arithmetic sequence: 7, 14, 21, ..., what is the 15th term?
27. If the sum of the series 3 + 6 + 9 + ... + 27 is calculated, what is the result?
28. What is the sum of the series 3 + 6 + 9 + ... + 30?
29. What is the sum of the series 5 + 12 + 19 + ... up to the 13th term?
30. In the arithmetic sequence 5, 2, -1, ..., what is the common difference?
31. Determine the 10th term of the geometric sequence: 2, 6, 18, ...
32. What is the common ratio in the geometric sequence: 3, 9, 27, ...?
33. What is the sum of the first 10 terms of the arithmetic sequence: 2, 5, 8, ...?
34. In the geometric sequence 4, 12, 36, ..., what is the common ratio?
35. Find the product of the first 5 terms of the geometric sequence: 2, -6, 18, ...
36. What is the 12th term of the arithmetic sequence: 2, 5, 8, ...?
37. What is the sum of the series 1 + 3 + 5 + ... + 17?
38. In the geometric sequence 2, 6, 18, ..., what is the common ratio?
39. What is the sum of the series 4 + 7 + 10 + ... up to the 8th term?
40. Determine the 13th term of the arithmetic sequence: 4, 7, 10, ...