Algebraic Sequences and Series MCQ Test: Algebraic Sequences and Series MCQs - Practice Questions
1. If the sum of the first 15 terms of a series is 525 and the common difference is 3, what is the first term?
2. What is the sum of the series 5 + 12 + 19 + ... up to the 13th term?
3. In the arithmetic sequence 14, 18, 22, ..., what is the common difference?
4. Determine the 20th term of the arithmetic sequence: 11, 17, 23, ...
5. Find the product of the first 5 terms of the geometric sequence: 2, -6, 18, ...
6. What is the sum of the first 5 terms of the arithmetic sequence: 3, 7, 11, ...?
7. If the sum of the series 5 + 10 + 15 + ... up to the 10th term is calculated, what is the result?
8. Find the product of the first 5 terms of the geometric sequence: 2, 4, 8, ...
9. If the sum of an infinite geometric series is 36 and the common ratio is 2, what is the first term?
10. If the sum of the series 8 + 15 + 22 + ... + 106 is calculated, what is the result?
11. In the arithmetic sequence 6, 12, 18, ..., what is the 10th term?
12. If the common ratio of a geometric series is -3 and the first term is 9, find the sum of the first 7 terms.
13. In the geometric sequence 2/3, 2, 6, ..., what is the common ratio?
14. If the common difference in an arithmetic sequence is -7 and the 8th term is 35, what is the first term?
15. Find the sum of the geometric series: 3 + 9 + 27 + ... up to the 8th term.
16. In the arithmetic sequence: 5, 10, 15, ..., what is the 12th term?
17. In the geometric sequence 6, 3, 3/2, ..., what is the common ratio?
18. Find the sum of the series 7 + 14 + 21 + ... up to the 12th term.
19. Find the sum of the series 6 + 12 + 24 + ... up to the 10th term.
20. What is the 14th term of the geometric sequence: 2, -6, 18, ...?
21. What is the 18th term of the geometric sequence: 3, -9, 27, ...?
22. What is the 30th term of the arithmetic sequence: 6, 12, 18, ...?
23. In the arithmetic sequence: 7, 14, 21, ..., what is the 15th term?
24. Determine the 11th term of the geometric sequence: 4, 12, 36, ...
25. What is the 12th term of the arithmetic sequence: 2, 5, 8, ...?
26. What is the sum of the series 4 + 7 + 10 + ... up to the 8th term?
27. In the arithmetic sequence 5, 2, -1, ..., what is the common difference?
28. Determine the sum of the geometric series: 10 + 20 + 40 + ... up to the 12th term.
29. If the sum of the first 5 terms of a series is 75 and the common difference is 5, what is the first term?
30. In the arithmetic sequence 13, 17, 21, ..., what is the 25th term?