Welcome to your Arithmetic Progressions MCQs Mock Test of 10th Class Mathematics
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Question 1. The sum of first n terms of the series a, 3a, 5a, …….. is
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2. In an Arithmetic Progression, if a = 28, d = -4, n = 7, then an is:
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Question 3. 37th term of the AP: √x, 3√x, 5√x, …….. is
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4. If a = 10 and d = 10, then first four terms will be:
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Question 5. Which term of the AP: 92, 88, 84, 80 … is 0?
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6. The first term and common difference for the A.P. 3, 1, -1, -3 is:
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Question 7. The common difference of the AP … -4, -2, 0, 2, …. is
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8. 30th term of the A.P: 10, 7, 4, …, is
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9. 11th term of the A.P. -3, -1/2, 2 …. Is
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10. The missing terms in AP: __, 13, __, 3 are:
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11. Which term of the A.P. 3, 8, 13, 18, … is 78?
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12. The 21st term of AP whose first two terms are -3 and 4 is:
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13. If 17th term of an A.P. exceeds its 10th term by 7. The common difference is:
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14. The number of multiples of 4 between 10 and 250 is:
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15. 20th term from the last term of the A.P. 3, 8, 13, …, 253 is:
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16. The sum of the first five multiples of 3 is:
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17. The 10th term of the AP: 5, 8, 11, 14, … is
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18. In an AP, if d = -4, n = 7, an = 4, then a is
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19. The list of numbers –10, –6, –2, 2,… is
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20. If the 2nd term of an AP is 13 and the 5th term is 25, then its 7th term is
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21. Which term of the AP: 21, 42, 63, 84,… is 210?
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22. What is the common difference of an AP in which a18 – a14 = 32?
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23. The famous mathematician associated with finding the sum of the first 100 natural numbers is
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24. The sum of first 16 terms of the AP: 10, 6, 2,… is
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25. The nth term of an A.P. is given by an = 3 + 4n. The common difference is
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26. If p, q, r and s are in A.P. then r – q is
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27. If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are
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28. The (n – 1)th term of an A.P. is given by 7,12,17, 22,… is
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29. The nth term of an A.P. 5, 2, -1, -4, -7 … is
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30. The 10th term from the end of the A.P. -5, -10, -15,…, -1000 is
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31. Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4
32.
32. The sum of all two digit odd numbers is
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33. The sum of first n odd natural numbers is
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34. The number of multiples lie between n and n² which are divisible by n is
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35. If a, b, c, d, e are in A.P., then the value of a – 4b + 6c – 4d + e is
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36. The sum of all odd integers between 2 and 100 divisible by 3 is
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37. If the numbers a, b, c, d, e form an A.P., then the value of a – 4b + 6c – 4d + e is
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38. If 7 times the 7th term of an A.P. is equal to 11 times its 11th term, then 18th term is
39.
Question 39. The sum of the first 15 multiples of 8 is
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Question 40. Next term of the AP √2, 3√2, 5√2, ……. is
41.
Question 41. First four terms of the sequence an = 2n + 3 are
42.
Question 42. 20th term of the AP -5, -3, -1, 1, is
43.
Question 43. If nth term of an AP is 7 – 4n, then its common difference is
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Question 44. If the sum of first n terms of an AP is An + Bn² where A and B are constants. The common difference of AP will be
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Question 45. The 10th term of the sequence √3, 12−−√, 27−−√; …… is
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Question 46. Sum of n terms of the series √2 + √8 + 18−−√ + 32−−√ + …… is
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Question 47. If p – 1, p + 3, 3p – 1 are in AP, then p is equal to
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Question 48. The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to.
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Question 49. If the sum of the first m terms of an AP is n and the sum of its n terms is m, then the sum of its (m + n) terms will be
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Question 50. If nth term of an AP is given by fn = 3n + 4, find the common difference of the AP
