Sequences – Geometric Progression (GP), Sum to n terms

Grade 11 Maths — Sequences – Geometric Progression (GP), Sum to n terms: 25 practice questions with instant scoring and explanations.

1. A geometric progression is a sequence where:
2. The common ratio of GP {2, 6, 18, 54, ...} is:
3. The nth term of GP is given by:
4. The 5th term of GP {1, 2, 4, 8, ...} is:
5. The 6th term of GP {1, 3, 9, ...} is:
6. If a = 2 and r = 2, the 8th term of GP is:
7. The sum of first n terms of GP (r ≠ 1) is:
8. The sum of first 5 terms of GP {1, 2, 4, ...} is:
9. The sum of first 4 terms of GP {2, 4, 8, ...} is:
10. If a = 1, r = 2, find sum of first 10 terms:
11. The sum of infinite GP with a = 1 and r = 1/2 is:
12. The sum to infinity of GP is S_∞ = a/(1 - r) when:
13. Is {3, 6, 12, 24, ...} a GP?
14. The 4th term of GP {5, 10, 20, ...} is:
15. Three terms of GP are a/r, a, ar. Their product is:
16. The 8th term of GP {1, 1/2, 1/4, ...} is:
17. The sum of infinite series 1 + 1/2 + 1/4 + 1/8 + ... is:
18. If first term is 5 and common ratio is 2, 5th term is:
19. The sum of first 6 terms of GP {1, -1, 1, -1, ...} is:
20. For GP with a = 2, r = -1, S_10 equals:
21. The 3rd term of GP is 12 and 6th term is 96. Common ratio is:
22. The sum to infinity 2 + 1 + 1/2 + 1/4 + ... is:
23. If sum of first 3 terms of GP is 13 and a = 1, then r equals:
24. The geometric mean of 4 and 16 is:
25. For an infinite GP to converge, the common ratio must satisfy: