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Math Assignment Class X Ch-5 | 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 10TH Arithmetic Progression (AP)
Level 1
Ans [20th term] |
Ans [9th term] |
Ans [10 terms] |
Ans [209] |
Ans [8,6,4,2,0.........] |
Ans [k = 15/2] |
Ans [-4] |
Ans [69] |
Ans [23rd ] |
Ans [4,10,16,22...] |
Ans [[74th] |
Ans [ 71st term] |
Ans [53rd ] |
Ans [a = 9, d = - 3] |
Ans [2,7,12......] |
|
Ans [10n-2] |
Ans [8n-7] |
Ans [4n + 3] |
Ans [130] |
Level 2
21. The sum of the first n terms of an AP. Is 3n2 + 6n. Find the nth term of this A.P. Ans [6n+3] |
22. If tn = 4n-5. Then find the sum of first 25 terms. Ans [1175] |
23. If tn = 2-3n. 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 5th term of an AP is zero. Show that its 33rd term is 4 times its 12th term. |
29. If 8th term of an AP is zero. Prove that its 38th term is triple its 18th term. |
30. If m times the mth term of an AP is equal to the n times of the nth term then show that its (m + n)th is zero. |
31. If 7 time the 7th term of an Ap is equal to the 11 times the 11th term. Show that the 18th 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 1st 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 7th to the 3rd term of an AP is 12 : 5 Find t13 : t14 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 nth term
from the beginning and nth 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 [20th , 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 9th 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[40o, 60o and
80o] |
51. If
the seventh term of an AP is 1/9 and its 9th term is 1/7,
find its 63rd term. Ans[1] |
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