3. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.1. If Sn, the sum of the first n terms of an AP is given by Sn = 2n2 2+n, then
find its nth term. [CBSE 2019]
4. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.2. If the 17th term of an AP exceeds its 10th term by 7, find the
common difference. [CBSE 2019
5. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.3. If in an AP, a = 15, d = -3 and an = 0, then find the value of n.
[CBSE 2019]
6. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.4. Which term of the arithmetic progression 3, 15, 27, 39 .... will be
120 more than its 21st term? [CBSE 2019]
7. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.5. If Sn the sum of first n terms of an AP is given by Sn = 3n2 - 4n, find the nth
term. [Delhi 2019]
8. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.6. In an A.P., if the common difference (d) = - 4 and the seventh term {a7) is 4, then
find the first term. [CBSE 2018]
10. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
.8. In an A.P. if the sum of its first n terms is 3n2 + 5n and its kth term is 164, find
the value of k. [CBSE 2018 (C)]
11. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.9. In an A.P. if the sum of its first n term is Previous Year Questions: Arithmetic
Progressions and nth term is Previous Year Questions: Arithmetic Progressions
then find the sum of its first mn term. [Delhi 2017]
12. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.10. Write the nth term of the A.P.
Previous Year Questions: Arithmetic Progressions [Delhi 2017 (C)]
13. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.11. Find the sum of the following series:
5 + (- 41) + 9 + (- 39) + 13 + (- 37) + 17 +....+ (-5 ) + 8 I + (-3 ) [CBSE (F) 2017]
14. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.12. If 7 times the 7th term of an AP is equal to 11 times its 11th term, then
find its 18th term. [CBSE (F) 2017]
15. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.13. For what value of n, are the nth terms of two APs 63, 65, 67,... and 3, 10, 17,...
equal? [CBSE(AI) 2017]
16. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.14. How many terms of the AP: 9, 17, 25,... must be taken to give a sum of 636?
[NCERT, CBSE (AI) 2017]
17. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.15. If the sum of the first 7 terms of an AP is 49 and that of 17 terms is 289, find the
sum of the first n terms. [CBSE Delhi 2017]
18. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.16. The first term of an AP is 5, the last term is 45 and the sum is 400. Find the
number of terms and the common difference. [CBSE (AI) 2017]
19. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.17. What is the common difference of an A.P. in which a21 - a7 = 84? [AI 2017]
20. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
.18. Find how many integers between 200 and 500 are divisible by 8. [Delhi 2017]
21. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.19. Which term of the Arithmetic Progressions ...
is the first negative terms? [AI 2017]
22. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.20. Find the sum of all two-digit natural numbers which are divisible by 4.
[CBSE Delhi 2017 (C)]
23. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.21. The ratio of the sum of first n terms of two different AP’s is (7n + 1) : (4n + 27), find
the ratio of their mth terms. [CBSE (AI) 2016]
24. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.22. Find the 9th term from the end (towards the first term) of the AP 5, 9, 13,..., 185.
[CBSE (Delhi) 2016]
25. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
.24. The 4th term of an AP is zero. Prove that the 25th term of the AP is three times its
11th term. [CBSE (Al) 2016]
26. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
.25. If the ratio of the sum of the first m and n terms of an AP is m2: n2, show that
the ratio of its mth and nth terms is (2m - 1) : (2n - 1). [CBSE (F) 2016]
27. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.26. The first term of an A.P. is 5, the last term is 45 and the sum of all its term is
400. Find the number of terms and the common difference of the A.P. [AI 2017]
28. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Long Answer Type Questions
Q.1. The first term of an AP is 3, the last term is 83 and the sum of all its terms is
903. Find the number of terms and the common difference of the AP.
] [CBSE 2019
29. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
.2. Which term of the Arithmetic Progression - 7, - 12 , - 17 , - 22 , ... will be - 82. Is -
100 any term of the A.P.? Give reason for your answer. [CBSE, Allahabad 2019]
30. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.3. The sum of four consecutive numbers in an AP is 32 and the ratio of the
product of the first and the last term to the product of two middle terms is 7: 15.
Find the numbers. [CBSE 2018]
31. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.4. If the ratio of the 11th term of an AP to its 18th term is 2 : 3, find the ratio of
the sum of the first five terms to the sum of its first 10 terms. [CBSE Delhi 2017]
32. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.5. If the ratio of the sum of the first n terms of two A.P.s is (7n + 1) : (4n + 27),
then find the ratio of their 9th terms. [AI 2017]
33. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.6. Find the sum of the first 24 terms of an A.P. whose nth term is given by an = 3 + 2n.
[CBSE AI 2017 (C)]
34. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.7. In an AP of 50 terms, the sum of the first 10 terms is 210 and the sum of its last 15
terms is 2565. Find the AP. [CBSE (F) 2017]
35. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.8. Divide 56 into four parts which are in AP such that the ratio of product of
extremes to the product of means is 5 : 6. [CBSE (F) 2016]
36. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.9. A thief runs with a uniform speed of 100 m/minute. After one minute a policeman
runs after the thief to catch him. He goes with a speed of 100 m/minute in the first
minute and increases his speed by 10 m/minute every succeeding minute. After how
many minutes the policeman will catch the thief? [CBSE (Delhi) 2016]
37. ARITHMETIC PROGRESSION :PYQS CLASS 10 |CBSE|UP BOARD|
Q.10. The houses in a row are numbered consecutively from 1 to 49. Show that
there exists a value of X such that the sum of numbers of houses preceding the
house numbered X is equal to the sum of the numbers of houses following X. Find
the value of X. [CBSE 2016]
