Arithmetic Progressions – nth Term, Sum, Properties

Grade 11 Maths Higher — Arithmetic Progressions – nth Term, Sum, Properties: 25 practice questions with instant scoring and explanations.

1. An arithmetic progression (AP) is a sequence where:
2. The nth term of an AP with first term a and common difference d is:
3. The sum of first n terms of an AP is:
4. For the AP 2, 5, 8, 11, ..., the common difference is:
5. The 10th term of the AP 1, 4, 7, 10, ... is:
6. The sum of the first 20 terms of AP with a = 1 and d = 2 is:
7. If the nth term of an AP is 5n - 3, then the first term is:
8. In an AP, if a₃ = 7 and a₅ = 11, then the common difference is:
9. The number of terms in the AP 1, 4, 7, ..., 28 is:
10. If in an AP, a = 5, d = 3, and Sₙ = 110, then n =
11. The sum of an AP 5 + 8 + 11 + ... + 32 is:
12. If the mth term of an AP equals n and the nth term equals m, then the common difference is:
13. The sum of the first n odd numbers is:
14. If the sum of n terms of an AP is nⁿ, then the first three terms are:
15. In an AP, the sum of equidistant terms from the beginning and end is:
16. If a, b, c are in AP, then:
17. The sum of all natural numbers from 1 to 100 is:
18. If Sₙ = 3n² + 4n, then the first term and common difference are:
19. How many terms of the AP 1, 4, 7, 10, ... should be taken so that their sum is 715?
20. The arithmetic mean of n numbers is their:
21. If p, q, r are in AP, then p + r =
22. The sum of the AP 100, 99, 98, ..., 1 is:
23. In an AP, if aₘ = n and aₙ = m (where m ≠ n), then aₘ₊ₙ =
24. The arithmetic mean between 10 and 24 is:
25. Three numbers are in AP with sum 18 and product 120. The largest is: