Arithmetic Progression Worksheet for Olympiad

Maths Olympiad topic 29: Sequences and AP · Set 922 · 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 20, 25, 30, 35, … is 125? (a) 23rd (b) 25th (c) 21st (d) 22nd
2. 2.Which term of the AP 20, 22, 24, 26, … is 54? (a) 19th (b) 17th (c) 27th (d) 18th
3. 3.What is the sum of the first 9 terms of the AP 8, 10, 12, …? (a) 144 (b) 24 (c) 288 (d) 153
4. 4.What is the 38th term of the AP 9, 13, 17, 21, …? (a) 157 (b) 148 (c) 152 (d) 161
5. 5.What is the sum of the first 9 terms of the AP 4, 9, 14, …? (a) 432 (b) 216 (c) 44 (d) 221
6. 6.What is the missing term in the AP 1, 9, 17, ?, 33? (a) 24 (b) 33 (c) 26 (d) 25
7. 7.Which term of the AP 6, 9, 12, 15, … is 27? (a) 8th (b) 7th (c) 9th (d) 10th
8. 8.What is the sum of the first 9 odd numbers (1 + 3 + 5 + …)? (a) 45 (b) 90 (c) 17 (d) 81
9. 9.What is the sum of the first 9 terms of the AP 6, 11, 16, …? (a) 46 (b) 468 (c) 234 (d) 239
10. 10.What is the 26th term of the AP 6, 10, 14, 18, …? (a) 106 (b) 104 (c) 100 (d) 110
11. 11.Which term of the AP 2, 10, 18, 26, … is 202? (a) 27th (b) 28th (c) 26th (d) 25th
12. 12.What is the missing term in the AP 9, 13, ?, 21, 25? (a) 17 (b) 18 (c) 21 (d) 16
13. 13.Which term of the AP 15, 22, 29, 36, … is 197? (a) 27th (b) 28th (c) 29th (d) 26th
14. 14.What is the 17th term of the AP 13, 22, 31, 40, …? (a) 153 (b) 144 (c) 157 (d) 166
15. 15.What is the 26th term of the AP 3, 7, 11, 15, …? (a) 104 (b) 107 (c) 103 (d) 100
16. 16.Which term of the AP 5, 7, 9, 11, … is 59? (a) 30th (b) 29th (c) 27th (d) 28th
17. 17.Which term of the AP 7, 12, 17, 22, … is 52? (a) 9th (b) 10th (c) 11th (d) 12th
18. 18.What is the 38th term of the AP 19, 21, 23, 25, …? (a) 74 (b) 95 (c) 76 (d) 93
19. 19.What is the 10th term of the AP 4, 6, 8, 10, …? (a) 22 (b) 18 (c) 20 (d) 24
20. 20.What is the sum of the first 9 terms of the AP 10, 11, 12, …? (a) 18 (b) 126 (c) 252 (d) 127
21. 21.What is the sum of all the whole numbers from 1 to 48? (a) 1128 (b) 1152 (c) 1176 (d) 2352
22. 22.What is the sum of the first 11 terms of the AP 1, 7, 13, …? (a) 341 (b) 61 (c) 374 (d) 682
23. 23.What is the sum of all the whole numbers from 1 to 19? (a) 191 (b) 380 (c) 190 (d) 171
24. 24.What is the 16th term of the AP 4, 11, 18, 25, …? (a) 109 (b) 105 (c) 112 (d) 116
25. 25.What is the sum of all the whole numbers from 1 to 32? (a) 528 (b) 512 (c) 1056 (d) 496
26. 26.What is the sum of the first 23 odd numbers (1 + 3 + 5 + …)? (a) 45 (b) 276 (c) 552 (d) 529
27. 27.What is the missing term in the AP 8, 11, ?, 17, 20? (a) 14 (b) 17 (c) 13 (d) 15
28. 28.What is the missing term in the AP 13, 16, ?, 22, 25? (a) 22 (b) 18 (c) 20 (d) 19
29. 29.What is the 40th term of the AP 8, 12, 16, 20, …? (a) 168 (b) 164 (c) 156 (d) 160
30. 30.What is the sum of the first 5 odd numbers (1 + 3 + 5 + …)? (a) 25 (b) 9 (c) 30 (d) 15
31. 31.What is the sum of all the whole numbers from 1 to 66? (a) 4422 (b) 2145 (c) 2178 (d) 2211
32. 32.Which term of the AP 19, 27, 35, 43, … is 171? (a) 21st (b) 19th (c) 20th (d) 22nd
33. 33.What is the 10th term of the AP 1, 4, 7, 10, …? (a) 28 (b) 31 (c) 30 (d) 27
34. 34.What is the missing term in the AP 1, 5, ?, 13, 17? (a) 8 (b) 9 (c) 13 (d) 10
35. 35.What is the 31st term of the AP 11, 17, 23, 29, …? (a) 186 (b) 180 (c) 191 (d) 197
36. 36.What is the 19th term of the AP 4, 6, 8, 10, …? (a) 42 (b) 40 (c) 38 (d) 36
37. 37.Which term of the AP 10, 14, 18, 22, … is 150? (a) 38th (b) 35th (c) 36th (d) 37th
38. 38.What is the sum of the first 12 terms of the AP 4, 6, 8, …? (a) 26 (b) 360 (c) 180 (d) 192
39. 39.What is the sum of the first 8 terms of the AP 2, 7, 12, …? (a) 312 (b) 37 (c) 156 (d) 176
40. 40.What is the sum of the first 8 terms of the AP 10, 16, 22, …? (a) 52 (b) 272 (c) 248 (d) 496

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