Arithmetic Progression Practice Problems

Arithmetic Progression Examples

Arithmetic Progression Examples

1. The first three terms of an arithmetic sequence are y, 3y-2, and 7y-10. What is the value of y?
4
3
2
5
2. The sum of the first 18 terms of an arithmetic sequence is 540. If the first term is 8, what is the common difference?
5
6
4
3
3. The first term of an arithmetic sequence is 5 and the 9th term is 29. What is the common difference?
2
3
4
5
4. In an arithmetic sequence, the 11th term is 43 and the common difference is 4. What is the sum of the first 21 terms?
903
945
861
987
5. What is the common difference in the arithmetic sequence: -10, -6, -2, 2...?
-4
4
6
-6
6. The sum of the first and 10th terms of an arithmetic sequence is 40. What is the sum of the 5th and 6th terms?
20
40
10
30
7. In an arithmetic sequence, the 6th term is 17 and the 11th term is 32. What is the sum of the first 20 terms?
520
530
540
550
8. What is the 25th term of the arithmetic sequence 7, 10, 13, 16, ...?
76
79
82
85
9. In an arithmetic sequence, if a₅ = 19 and a₉ = 35, what is the common difference?
3
4
5
6
10. In an arithmetic sequence, if a₄ = 17 and a₈ = 33, what is a₁₁?
45
47
49
51
Questions Answered: 0/10