Arithmetic Progression Worksheet for Olympiad

Maths Olympiad topic 29: Sequences and AP · Set 242 · 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.What is the 11th term of the AP 5, 13, 21, 29, …? (a) 88 (b) 85 (c) 80 (d) 93
2. 2.What is the sum of the first 7 terms of the AP 9, 15, 21, …? (a) 378 (b) 45 (c) 189 (d) 210
3. 3.What is the sum of the first 5 terms of the AP 5, 6, 7, …? (a) 9 (b) 35 (c) 70 (d) 36
4. 4.What is the missing term in the AP 4, 8, ?, 16, 20? (a) 16 (b) 13 (c) 11 (d) 12
5. 5.What is the 34th term of the AP 1, 8, 15, 22, …? (a) 232 (b) 238 (c) 231 (d) 239
6. 6.What is the 19th term of the AP 15, 22, 29, 36, …? (a) 141 (b) 126 (c) 133 (d) 148
7. 7.What is the missing term in the AP 2, 5, 8, ?, 14? (a) 12 (b) 11 (c) 10 (d) 14
8. 8.What is the sum of the first 11 odd numbers (1 + 3 + 5 + …)? (a) 66 (b) 121 (c) 21 (d) 132
9. 9.What is the sum of the first 6 terms of the AP 7, 12, 17, …? (a) 32 (b) 132 (c) 117 (d) 234
10. 10.What is the missing term in the AP 18, ?, 24, 27, 30? (a) 20 (b) 21 (c) 22 (d) 24
11. 11.Which term of the AP 2, 4, 6, 8, … is 22? (a) 10th (b) 11th (c) 13th (d) 12th
12. 12.Which term of the AP 1, 4, 7, 10, … is 61? (a) 21st (b) 20th (c) 22nd (d) 23rd
13. 13.What is the sum of the first 10 terms of the AP 8, 13, 18, …? (a) 53 (b) 330 (c) 305 (d) 610
14. 14.What is the missing term in the AP 8, 16, ?, 32, 40? (a) 24 (b) 25 (c) 32 (d) 23
15. 15.What is the 34th term of the AP 8, 17, 26, 35, …? (a) 297 (b) 305 (c) 306 (d) 314
16. 16.What is the missing term in the AP 13, ?, 21, 25, 29? (a) 16 (b) 21 (c) 17 (d) 18
17. 17.What is the missing term in the AP 2, 11, 20, ?, 38? (a) 38 (b) 29 (c) 30 (d) 28
18. 18.What is the missing term in the AP 11, 13, 15, ?, 19? (a) 19 (b) 16 (c) 17 (d) 18
19. 19.What is the sum of all the whole numbers from 1 to 41? (a) 1722 (b) 820 (c) 861 (d) 862
20. 20.What is the sum of the first 12 terms of the AP 7, 8, 9, …? (a) 18 (b) 156 (c) 150 (d) 300
21. 21.What is the 16th term of the AP 1, 6, 11, 16, …? (a) 75 (b) 81 (c) 76 (d) 80
22. 22.What is the 17th term of the AP 14, 16, 18, 20, …? (a) 48 (b) 34 (c) 46 (d) 32
23. 23.What is the sum of the first 27 odd numbers (1 + 3 + 5 + …)? (a) 53 (b) 378 (c) 729 (d) 756
24. 24.What is the sum of the first 5 terms of the AP 7, 8, 9, …? (a) 11 (b) 45 (c) 46 (d) 90
25. 25.What is the missing term in the AP 20, ?, 30, 35, 40? (a) 24 (b) 30 (c) 25 (d) 26
26. 26.What is the missing term in the AP 19, 23, 27, ?, 35? (a) 30 (b) 31 (c) 32 (d) 35
27. 27.Which term of the AP 15, 17, 19, 21, … is 85? (a) 35th (b) 37th (c) 38th (d) 36th
28. 28.Which term of the AP 5, 7, 9, 11, … is 75? (a) 36th (b) 38th (c) 35th (d) 37th
29. 29.Which term of the AP 9, 11, 13, 15, … is 41? (a) 18th (b) 16th (c) 19th (d) 17th
30. 30.What is the missing term in the AP 18, 20, 22, ?, 26? (a) 23 (b) 25 (c) 26 (d) 24
31. 31.What is the sum of all the whole numbers from 1 to 37? (a) 666 (b) 703 (c) 1406 (d) 704
32. 32.What is the 24th term of the AP 10, 17, 24, 31, …? (a) 161 (b) 168 (c) 171 (d) 178
33. 33.What is the 12th term of the AP 8, 11, 14, 17, …? (a) 36 (b) 33 (c) 44 (d) 41
34. 34.What is the sum of the first 6 terms of the AP 10, 11, 12, …? (a) 150 (b) 78 (c) 15 (d) 75
35. 35.Which term of the AP 1, 8, 15, 22, … is 92? (a) 13th (b) 15th (c) 16th (d) 14th
36. 36.Which term of the AP 15, 20, 25, 30, … is 170? (a) 34th (b) 32nd (c) 33rd (d) 31st
37. 37.What is the 30th term of the AP 4, 11, 18, 25, …? (a) 203 (b) 210 (c) 207 (d) 214
38. 38.Which term of the AP 19, 22, 25, 28, … is 124? (a) 35th (b) 37th (c) 38th (d) 36th
39. 39.What is the 40th term of the AP 19, 28, 37, 46, …? (a) 360 (b) 379 (c) 351 (d) 370
40. 40.What is the 34th term of the AP 12, 18, 24, 30, …? (a) 216 (b) 198 (c) 204 (d) 210

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