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Math Assignment Class X Ch5  Arithmetic Progression
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MATHEMATICS
ASSIGNMENT [CHAPTER 5]
Extra questions of chapter 5 class 10 Arithmetic Progression with answer and hints to the difficult questions. Important and useful math assignment for the students of class 10
For better results
 Students should learn all the basic points of Arithmetic Progression
 Student should revise N C E R T book thoroughly with examples.
 Now revise this assignment. This assignment integrate the knowledge of the students.
CLASS 10^{TH} Arithmetic Progression (AP)
Level 1
Ans [20^{th} term] 
Ans [9^{th} term] 
Ans [10 terms] 
Ans [209] 
Ans [8,6,4,2,0.........] 
Ans [k = 15/2] 
Ans [4] 
Ans [69] 
Ans [23^{rd} ] 
Ans [4,10,16,22...] 
Ans [[74^{th}] 
Ans [ 71^{st} term] 
Ans [53^{rd} ] 
Ans [a = 9, d =  3] 
Ans [2,7,12......] 

Ans [10n2] 
Ans [8n7] 
Ans [4n + 3] 
Ans [130] 
Level 2
21. The sum of the first n terms of an AP. Is 3n^{2} + 6n. Find the nth term of this A.P. Ans [6n+3] 
22. If tn = 4n5. Then find the sum of first 25 terms. Ans [1175] 
23. If tn = 23n. Then find the sum of first 25 terms. Ans [925] 
24. Find the sum of all two digit no. Which are divisible by 4. Ans [1188] 
25. Find the no. Of terms of an AP: 54,51,48....... so that their sum is 513. Ans [18 or 19] 
26. Find the sum of all natural no. Between 100 & 300 which are divisible by 6 Ans [6534] 
27. Find the sum of all natural no. Between 200 & 300 which are divisible by 4 Ans [6000] 
28. The 5^{th} term of an AP is zero. Show that its 33^{rd} term is 4 times its 12^{th} term. 
29. If 8^{th} term of an AP is zero. Prove that its 38^{th} term is triple its 18^{th} term. 
30. If m times the m^{th} term of an AP is equal to the n times of the n^{th} term then show that its (m + n)^{th} is zero. 
31. If 7 time the 7^{th} term of an Ap is equal to the 11 times the 11^{th} term. Show that the 18^{th} term of the AP is zero. 
32. Find the sum of 11 terms of an AP whose middle term is 30. Ans [330] 
33. Find the sum of all integers between 50 & 500 which are divisible by 7 Ans [17696] 
34. The sum of first 15 terms of an AP is 105 and the sum of next 15 terms is 780. Find first three terms of an AP. Ans [14,11,8] 
35. Find the common difference of an AP whose 1^{st} term is 100 and the sum of whose first 6 terms is 5 times the sum of next 6 terms Ans [10] 
36. Find the no. Of natural no. Which lie between 101 and 304 and are divisible by 3 or 5. Also find their sum. Ans [94 terms , sum= 19035] 
37. The ratio of the 7^{th} to the 3^{rd} term of an AP is 12 : 5 Find t_{13 } : t_{14 } _{ }Ans_{ }[90 : 97] 
38. Find the sum of all 3 digit no. Which leaves remainder 3 when divided by 5 Ans [99090] 
39. The sum of 4 terms in an AP is 42. If product of extreme terms is 90. Find no. Ans [6,9,12,15] 
40. Sum of 3 terms of an AP is 21 and their product is 231. Find the numbers. Ans [3,7,11] 
Level 3
41. Find
4 numbers in AP whose sum is 20 and sum of whose square
is 120. Ans [2,4,6,8] 
42. If
angles of a quadrilateral are in AP whose c. d. Is 10. Find all the
angles. Ans [75,85,95,105] 
43. The
first and last term of an AP is a & l show that sum of the n^{th} term
from the beginning and n^{th} term from the last is a + l. 
44. Find
the sum of first hundred even natural number which are divisible by
5. Ans [50500] 
45. Which
term of the AP: 5,9,13,17.....is 81 also find their sum.
Ans [20^{th} , 860] 
46. If
in an AP sum of first 10 terms is 80 and the sum of its next 10 terms is
280. Then find
AP.
Ans [1,1,3,5] 
47. Find
the sum of all multiple of 8 lying between 201 and 950. 
48. If
21, a, b, 3 are in AP. Then find the value
of (a+b)
Ans[18] 
49. Find
the 9^{th} term from the end of the AP: 5, 9,
13, …….185.
Ans [153] 
50. The
angles of a triangle are in AP. The greatest angle is twice the least.
Find the angles of the triangle.
Ans[40^{o}, 60^{o} and
80^{o}] 
51. If
the seventh term of an AP is 1/9 and its 9^{th} term is 1/7,
find its 63^{rd} term. Ans[1] 
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