Algebraic Sequences and Series MCQ Test: Algebraic Sequences and Series MCQs - Practice Questions
1. Find the sum of the series 9 + 18 + 27 + ... up to the 14th term.
2. What is the 14th term of the geometric sequence: 2, -6, 18, ...?
3. Find the sum of the series 6 + 12 + 24 + ... up to the 10th term.
4. If the sum of the first 6 terms of a series is 45 and the common difference is 3, what is the first term?
5. If the sum of an infinite geometric series is 36 and the common ratio is 2, what is the first term?
6. In the geometric sequence 6, 3, 3/2, ..., what is the common ratio?
7. If the sum of the geometric series 6 + 12 + 24 + ... is calculated, what is the result?
8. If the sum of the series 10 + 20 + 30 + ... up to the 11th term is calculated, what is the result?
9. What is the 7th term of the geometric sequence: 3, -6, 12, ...?
10. What is the common ratio in the geometric sequence: 2, 6, 18, ...?
11. What is the 12th term of the arithmetic sequence: 2, 5, 8, ...?
12. If the common difference in an arithmetic sequence is -7 and the 8th term is 35, what is the first term?
13. In the arithmetic sequence 6, 12, 18, ..., what is the 10th term?
14. If the sum of the series 8 + 15 + 22 + ... + 106 is calculated, what is the result?
15. In the geometric sequence 5, 10, 20, ..., what is the common ratio?
16. Find the product of the first 4 terms of the geometric sequence: 3, 9, 27, ...
17. Determine the 10th term of the geometric sequence: 2, 6, 18, ...
18. If the sum of the series 3 + 6 + 9 + ... + 27 is calculated, what is the result?
19. In the geometric sequence 1, -2, 4, ..., what is the common ratio?
20. If the sum of the first 15 terms of a series is 525 and the common difference is 3, what is the first term?
21. In the arithmetic sequence 14, 18, 22, ..., what is the common difference?
22. If the sum of the first 7 terms of a series is 84 and the common difference is 6, what is the first term?
23. What is the common ratio in the geometric sequence: 3, 9, 27, ...?
24. If the common ratio of a geometric series is -3 and the first term is 9, find the sum of the first 7 terms.
25. Find the sum of the series 7 + 14 + 21 + ... up to the 12th term.
26. What is the 22nd term of the arithmetic sequence: 9, 15, 21, ...?
27. Find the product of the first 5 terms of the geometric sequence: 2, -6, 18, ...
28. In the geometric sequence 2, 6, 18, ..., what is the common ratio?
29. Determine the 11th term of the geometric sequence: 4, 12, 36, ...
30. What is the 18th term of the geometric sequence: 3, -9, 27, ...?
31. If the sum of an infinite geometric series is 81 and the common ratio is 3, what is the first term?
32. What is the sum of the series 5 + 12 + 19 + ... up to the 13th term?
33. What is the 10th term of the geometric sequence: 2, 6, 18, ...?
34. If the common ratio of a geometric series is 2 and the first term is 3, find the sum of the first 6 terms.
35. What is the sum of the series 3 + 6 + 9 + ... + 30?
36. If the sum of the geometric series 4 + 8 + 16 + ... is calculated, what is the result?
37. Determine the sum of the geometric series: 10 + 20 + 40 + ... up to the 12th term.
38. Find the sum of the series 8 + 16 + 32 + ... up to the 7th term.
39. In the geometric sequence 3, 6, 12, ..., what is the common ratio?
40. Determine the 25th term of the arithmetic sequence: 8, 14, 20, ...
41. If the sum of an infinite geometric series is 27 and the common ratio is 0.5, what is the first term?
42. In the arithmetic sequence 9, 5, 1, ..., what is the common difference?
43. What is the sum of the first 4 terms of the series 1 + 4 + 9 + 16 + ...?
44. Find the sum of the geometric series: 3 + 9 + 27 + ... up to the 8th term.
45. Determine the 13th term of the arithmetic sequence: 4, 7, 10, ...
46. What is the 9th term of the arithmetic sequence: 7, 14, 21, ...?
47. In the arithmetic sequence: 5, 10, 15, ..., what is the 12th term?
48. In the geometric sequence 4, 12, 36, ..., what is the common ratio?
49. In the arithmetic sequence: 7, 14, 21, ..., what is the 15th term?
50. What is the 8th term of the arithmetic sequence: 12, 16, 20, ...?