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Class 9–10 Maths: Arithmetic progressions practice questions

Practise arithmetic progressions for Classes 9 and 10. Try the 10-question quiz below and see each answer explained straight away, then read all 12 worked examples with answers underneath. Free, no sign-up.

Arithmetic progressions: worked examples with answers

These Maths questions are generated, so a fresh set appears every time you press "Practise more questions". Here are some worked examples.

1. The first term of an AP is 8 and the common difference is 6. What is its 10th term?

   1. A. 58
   2. B. 74
   3. C. 68
   4. D. 62 ✓

   Answer: 62. nth term = a + (n − 1)d = 8 + 9 × 6 = 62.

2. The first term of an AP is 3 and the common difference is 5. What is its 18th term?

   1. A. 93
   2. B. 33
   3. C. 98
   4. D. 88 ✓

   Answer: 88. nth term = a + (n − 1)d = 3 + 17 × 5 = 88.

3. The first term of an AP is 7 and the common difference is 2. What is its 9th term?

   1. A. 21
   2. B. 25
   3. C. 27
   4. D. 23 ✓

   Answer: 23. nth term = a + (n − 1)d = 7 + 8 × 2 = 23.

4. The first term of an AP is 9 and the common difference is 3. What is its 14th term?

   1. A. 41
   2. B. 54
   3. C. 48 ✓
   4. D. 51

   Answer: 48. nth term = a + (n − 1)d = 9 + 13 × 3 = 48.

5. The first term of an AP is 15 and the common difference is 3. What is its 14th term?

   1. A. 51
   2. B. 54 ✓
   3. C. 60
   4. D. 57

   Answer: 54. nth term = a + (n − 1)d = 15 + 13 × 3 = 54.

6. The first term of an AP is 13 and the common difference is 2. What is its 14th term?

   1. A. 37
   2. B. 39 ✓
   3. C. 41
   4. D. 43

   Answer: 39. nth term = a + (n − 1)d = 13 + 13 × 2 = 39.

7. The first term of an AP is 7 and the common difference is 5. What is its 8th term?

   1. A. 43
   2. B. 37
   3. C. 47
   4. D. 42 ✓

   Answer: 42. nth term = a + (n − 1)d = 7 + 7 × 5 = 42.

8. The first term of an AP is 9 and the common difference is 6. What is its 10th term?

   1. A. 57
   2. B. 69
   3. C. 64
   4. D. 63 ✓

   Answer: 63. nth term = a + (n − 1)d = 9 + 9 × 6 = 63.

9. The first term of an AP is 10 and the common difference is 6. What is its 12th term?

   1. A. 76 ✓
   2. B. 70
   3. C. 82
   4. D. 72

   Answer: 76. nth term = a + (n − 1)d = 10 + 11 × 6 = 76.

10. The first term of an AP is 3 and the common difference is 8. What is its 15th term?

    1. A. 107
    2. B. 123
    3. C. 131
    4. D. 115 ✓

    Answer: 115. nth term = a + (n − 1)d = 3 + 14 × 8 = 115.

11. The first term of an AP is 2 and the common difference is 8. What is its 12th term?

    1. A. 98
    2. B. 106
    3. C. 28
    4. D. 90 ✓

    Answer: 90. nth term = a + (n − 1)d = 2 + 11 × 8 = 90.

12. The first term of an AP is 12 and the common difference is 3. What is its 20th term?

    1. A. 69 ✓
    2. B. 72
    3. C. 66
    4. D. 56

    Answer: 69. nth term = a + (n − 1)d = 12 + 19 × 3 = 69.

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