Arithmetic Progression Worksheet for Olympiad

Maths Olympiad topic 29: Sequences and AP · Set 861 · 40 questions

How to solve it (Same step every time): In an AP the gap (common difference d) is always the same. nth term = a + (n − 1) × d, where a is the first term. Sum of n terms = n × (first + last) ÷ 2; so 1 + 2 + … + n = n × (n + 1) ÷ 2, and the first n odd numbers add up to n × n.

1. 1.Which term of the AP 3, 9, 15, 21, … is 171? (a) 29th (b) 28th (c) 30th (d) 31st
2. 2.What is the missing term in the AP 11, ?, 15, 17, 19? (a) 12 (b) 13 (c) 15 (d) 14
3. 3.Which term of the AP 14, 22, 30, 38, … is 174? (a) 23rd (b) 22nd (c) 21st (d) 20th
4. 4.What is the sum of all the whole numbers from 1 to 91? (a) 4187 (b) 4095 (c) 4186 (d) 8372
5. 5.What is the 38th term of the AP 8, 13, 18, 23, …? (a) 193 (b) 198 (c) 190 (d) 185
6. 6.What is the 22nd term of the AP 15, 23, 31, 39, …? (a) 176 (b) 168 (c) 191 (d) 183
7. 7.What is the 37th term of the AP 20, 26, 32, 38, …? (a) 242 (b) 222 (c) 236 (d) 216
8. 8.What is the sum of the first 26 odd numbers (1 + 3 + 5 + …)? (a) 676 (b) 51 (c) 702 (d) 351
9. 9.What is the 20th term of the AP 5, 13, 21, 29, …? (a) 157 (b) 152 (c) 160 (d) 165
10. 10.Which term of the AP 7, 10, 13, 16, … is 109? (a) 36th (b) 35th (c) 37th (d) 34th
11. 11.What is the 10th term of the AP 14, 17, 20, 23, …? (a) 30 (b) 27 (c) 41 (d) 44
12. 12.Which term of the AP 3, 6, 9, 12, … is 42? (a) 16th (b) 14th (c) 13th (d) 15th
13. 13.What is the sum of all the whole numbers from 1 to 86? (a) 7482 (b) 3741 (c) 3655 (d) 3698
14. 14.What is the 24th term of the AP 6, 8, 10, 12, …? (a) 46 (b) 48 (c) 54 (d) 52
15. 15.What is the sum of the first 6 terms of the AP 2, 5, 8, …? (a) 114 (b) 57 (c) 17 (d) 66
16. 16.Which term of the AP 2, 4, 6, 8, … is 32? (a) 15th (b) 16th (c) 17th (d) 18th
17. 17.What is the missing term in the AP 20, ?, 38, 47, 56? (a) 38 (b) 29 (c) 28 (d) 30
18. 18.What is the missing term in the AP 16, ?, 24, 28, 32? (a) 19 (b) 21 (c) 20 (d) 24
19. 19.What is the sum of the first 10 terms of the AP 8, 9, 10, …? (a) 17 (b) 130 (c) 125 (d) 250
20. 20.What is the sum of the first 22 odd numbers (1 + 3 + 5 + …)? (a) 253 (b) 506 (c) 43 (d) 484
21. 21.What is the 36th term of the AP 13, 18, 23, 28, …? (a) 188 (b) 175 (c) 193 (d) 180
22. 22.What is the sum of all the whole numbers from 1 to 26? (a) 702 (b) 338 (c) 351 (d) 325
23. 23.Which term of the AP 9, 16, 23, 30, … is 58? (a) 7th (b) 9th (c) 8th (d) 10th
24. 24.What is the 19th term of the AP 17, 21, 25, 29, …? (a) 76 (b) 72 (c) 89 (d) 93
25. 25.What is the 27th term of the AP 14, 17, 20, 23, …? (a) 92 (b) 95 (c) 81 (d) 78
26. 26.What is the 15th term of the AP 5, 9, 13, 17, …? (a) 56 (b) 60 (c) 65 (d) 61
27. 27.What is the 14th term of the AP 10, 16, 22, 28, …? (a) 94 (b) 84 (c) 78 (d) 88
28. 28.What is the sum of the first 6 terms of the AP 1, 6, 11, …? (a) 81 (b) 26 (c) 96 (d) 162
29. 29.What is the sum of the first 5 terms of the AP 3, 8, 13, …? (a) 65 (b) 130 (c) 23 (d) 70
30. 30.What is the sum of the first 7 terms of the AP 8, 9, 10, …? (a) 14 (b) 154 (c) 77 (d) 78
31. 31.What is the 13th term of the AP 6, 11, 16, 21, …? (a) 66 (b) 65 (c) 71 (d) 60
32. 32.What is the 29th term of the AP 12, 14, 16, 18, …? (a) 70 (b) 68 (c) 56 (d) 58
33. 33.What is the sum of the first 6 terms of the AP 6, 9, 12, …? (a) 162 (b) 90 (c) 21 (d) 81
34. 34.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)? (a) 30 (b) 25 (c) 9 (d) 15
35. 35.What is the 15th term of the AP 15, 23, 31, 39, …? (a) 135 (b) 127 (c) 120 (d) 112
36. 36.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)? (a) 378 (b) 53 (c) 756 (d) 729
37. 37.What is the 10th term of the AP 13, 18, 23, 28, …? (a) 63 (b) 58 (c) 45 (d) 50
38. 38.What is the 11th term of the AP 17, 26, 35, 44, …? (a) 90 (b) 99 (c) 116 (d) 107
39. 39.What is the sum of the first 24 odd numbers (1 + 3 + 5 + …)? (a) 600 (b) 47 (c) 576 (d) 300
40. 40.What is the 17th term of the AP 13, 21, 29, 37, …? (a) 149 (b) 141 (c) 128 (d) 136

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad