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5. Arithmetic Progressions-Assignment Mathematics Class 10 In English-CBSE Notes
Last Updated : 14 March 2026
Get updated Maths Concepts for mathematics for class 10 chapter 5. Arithmetic Progressions Topic Assignment with clear explanations free access in English medium.
5. Arithmetic Progressions-Assignment Mathematics Class 10 In English-CBSE Notes
Last Updated : 14 March 2026
5. Arithmetic Progressions-Assignment Mathematics Class 10 In English-CBSE Notes
5. Arithmetic Progressions
Assignment
Assignment:
योगफल (Sn) पर आधारित प्रश्न:
Q33. Find the sum of the A.P. 1 + 3 + 5 + 7 + ..... + 199.
A.P. 1 + 3 + 5 + 7 + ..... + 199 का योगफल ज्ञात कीजिए |
उत्तर : 2500
Q34. Find the sum of n terms of A.P 2 + 4 + 6 + ......
A.P 2 + 4 + 6 + ...... के n पदों का योगफल ज्ञात कीजिए |
उत्तर : n2 + n
Q35. Find the sum 2 + 6 + 10 + 14 + ....... + 34.
2 + 6 + 10 + 14 + ....... + 34 का योगफल ज्ञात कीजिए |
उत्तर : 162
Q36. Find the sum of all terms of the A.P. 1 + 3 + 5 + ....... + 29.
A.P. 1 + 3 + 5 + ....... + 29 के सभी पदों का योग ज्ञात कीजिए |
उत्तर : 225
Q37. Find the sum of 34 + 32 + 30 + ………… + 10
34 + 32 + 30 + ………… + 10 का योगफल ज्ञात कीजिए |
उत्तर : 286
Q38. Give an expression for sum of nth term for 7 + 13 + 19 + ................
7 + 13 + 19 + ................ के लिए n पदों का योगफल का व्यंजक दीजिए |
उत्तर : 3n2 + 4n
Q39. Find the sum of the first 15 multiples of 8.
8 के प्रथम 15 गुणजों का योगफल ज्ञात कीजिए |
उत्तर : 960
Q40. Find the sum of the first 25 multiples of 7.
7 के प्रथम 25 गुणजों का योगफल ज्ञात कीजिए |
उत्तर : 2275
Q41. Find the sum of the first 10 multiples of 13.
13 के प्रथम 10 गुणजों का योगफल ज्ञात कीजिए |
उत्तर : 715
Q42. Find the sum of the first 27 multiples of 6.
6 के प्रथम 27 गुणजों का योगफल ज्ञात कीजिए |
उत्तर :2268
Q43. 0 और 50 के बीच की सभी विषम संख्याओं का योग ज्ञात कीजिए |
Find the sum of all odd numbers between 0 and 50.
उत्तर : 625
Q44. Find the sum of all multiples of 7 of three digits.
तीन अंकों की सभी 7 के गुणजों का योगफल ज्ञात कीजिए |
उत्तर : 70,336
Q45. Find the expression for nth term of an A.P, if sum of n term is n2.
यदि एक A.P के n पदों का योगफल n2 है, तो इसका nवाँ पद के लिए व्यंजक
ज्ञात कीजिए |
उत्तर : 2n - 1
Q46. Nidhi saves Rs. 2 on the first day, Rs. 4 on the second day and
Rs. 6 on the third day. How much money she would save in February
2015.
निधि, पहले दिन 2 रु. दुसरे दिन 4 रु. तथा तीसरे दिन 6 रु. इत्यादि बचाती है |
फरवरी 2015, में वह कितने रुपये बचाएगी |
उत्तर : 812
Q47. If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289,
find the sum of first n terms.
यदि किसी A.P का प्रथम 7 पदों का योग 49 है और प्रथम 17 पदों का योग 289 है
तो इसके प्रथम n पदों का योग ज्ञात कीजिए |
उत्तर : n2
Q48. यदि किसी A.P का प्रथम पदों का योग 4n - n2 है | तो इसके 25 पदों का योगफल
ज्ञात कीजिए |
Q49. यदि एक समांतर श्रेढ़ी के प्रथम n पदों का योगफल Sn = 3n2 - 4n है, तो इसका
n वाँ पद एवं सार्व अंतर ज्ञात कीजिए |
Q50.
यदि किसी A.P में Sn = 5n2 + 2n है तो इस A.P का n वाँ पद ज्ञात कीजिए |
उत्तर : an = 10n - 4
Q51. Find the number of terms of the A.P. 57, 54, 51, ................... so that
their sum is 570.
स. श्रे. 57, 54, 51, .................... के कितने पदों का योगफल 570 है ?
उत्तर :
Q52. How many terms of the AP : 9, 17, 25, . . . must be taken to give a
sum of 636?
AP : 9, 17, 25, . . . के कितने पद लिए जाए ताकि उनका योग 636 हो ?
उत्तर :
Q53. nth term of an A.P given by 3 - 2n, then find the sum of the first 40
terms of the A.P.
एक A.P का n वाँ पद 3 - 2n दिया है तो उस A.P के 40 पदों का योगफल ज्ञात
कीजिए |
Q54. समांतर श्रेढ़ी 22, 20, 18, ........... के कितने पदों का योगफल शून्य होगा ?
Q55. समांतर श्रेढ़ी - 40, - 32, - 24 .............. के कितने पद लिए जाए ताकि उनका
योगफल शून्य हो ?
Q56. Find the sum of A.P. 4 + 9 + 14 + ................... + 249.
समांतर श्रेढ़ी 4 + 9 + 14 + .................. + 249 का योगफल ज्ञात कीजिए |
Q57. The angles of triangle are in A.P. If the smallest angle is one fifth
the sum of other two angles. Find the angles.
किसी त्रिभुज के कोण A.P में है | यदि सबसे छोटी कोण अन्य दो कोणों के योग
का पांचवा भाग (1/5) है तो कोण ज्ञात कीजिए |
Q58. The sum of first six terms of an A.P. is 42. The ratio of the 10th term
to the 30th term is 1:3. Find the A.P.
किसी A.P के प्रथम 6 पदों का योग 42 है | 10 वाँ पद एवं 30 वाँ पद का अनुपात 1:3
है | तो A.P ज्ञात कीजिए |
Q59. The sum of first, third and seventeenth term of an A.P. is 216. Find the
sum of first 13 term of the A.P.
किसी A.P. के प्रथम पद, तीसरा पद और सत्रहवाँ पदों का योगफल 216 हैं | तो प्रथम 13 पदों का योगफल ज्ञात कीजिए |
उत्तर: 936;
Q60. The sum of three numbers in A.P. is 24 and their product is 440.
Find the numbers.
तीन संख्याएँ A.P में है यदि उनका योग 24 है और उनका योग 440 है तो
संख्याएँ ज्ञात कीजिए |
Q61. Which term of the A.P. 3, 10, 17 ................. will be 84 more than its 13th term?
A.P. : 3, 10, 17 ................. का कौन-सा पद इसके 13 वें पद से 84 अधिक होगा ?
ऊतर: 25;
Q62. The sum of three numbers in A.P. is 15 and their product is 80.
Find the numbers.
तीन संख्याएँ A.P में है यदि उनका योग 15 है और उनका योग 80 है तो
संख्याएँ ज्ञात कीजिए |
उत्तर: 2,5, 8 या 8, 5, 2
Q63. Find the sum of first n terms of an A.P. whose nth term is 5n -1. Hence find the sum of first 20 terms.
एक A.P. के प्रथम n पदों का योगफल ज्ञात कीजिए जिसका nवाँ पद 5n - 1 है | तो इस A.P. के 20 पदों का योगफल ज्ञात कीजिए |
Q64. The sum of first natural numbers S is shown by the following;
If sum is 276 then find the value of n.
प्रथम प्राकृत संख्या का योग S निम्नलिखित संबंध द्वारा दर्शाया जाता है |
यदि योग 276 हो तो n ज्ञात कीजिए |
उत्तर: 24;
Q65. समांतर श्रेढ़ी - 40, - 32, - 24 .............. के कितने पद लिए जाए ताकि उनका
योगफल शून्य हो ?
Q67. How many term should be taken of A.P 43, 39, 35,……….. so that their sum will be 252.
समांतर श्रेढ़ी 43, 39, 35,……….. के कितने पद लिए जाएँ कि उनका योग 252 हो |
Q68. The sum of first 6 terms of an A.P is 42. The ratio of 10th term and 30th is 1:3. Find A.P.
किसी A.P के प्रथम 6 पदों का योग 42 है | 10 वाँ पद एवं 30 वाँ पद का अनुपात 1:3
है | तो A.P ज्ञात कीजिए |
Q78. The fourth term of an A.P is triple of its first term and seventh term is 1 more than its third term. Find 10th term of the A.P.
एक A.P के चौथा पद उसके पहले पद का तिगुना है और सातवाँ पद इसी के तृतीय पद से 1 अधिक है | तो 10 वाँ पद ज्ञात कीजिए |
Q79. If the third term and the ninth term of an A.P is 4 and -8 respectively. Which term of this A.P will be zero?
यदि किसी A.P के तीसरे और नौवें पद क्रमश: 4 और -8 हैं, तो इसका कौन-सा पद शून्य होगा ?
Q80. If the sum of n terms of an A.P is 4n – n2. Find nth term of A.P.
यदि किसी A. P के n पदों के योग 4n – n2 है तो n वाँ पद ज्ञात कीजिए |
Q81.
किसी स्कूल के विद्यार्थियों को उनके समग्र शैक्षिक प्रदर्शन के लिए 7 नकद पुरस्कार देने के लिए 700 रु की राशि रखी गई है | यदि प्रत्येक पुरस्कार अपने से ठीक पहले पुरस्कार से 20 रु कम है, तो प्रत्येक पुरस्कार का मान ज्ञात कीजिए |
Q82. एक स्कूल के विद्यार्थियों ने वायु प्रदुषण कम करने के लिए स्कूल के अन्दर और बाहर पेड़ लगने के बारे में सोंचा | यह निर्णय लिया गया कि प्रत्येक कक्षा का प्रत्येक अनुभाग अपनी कक्षा की संख्या के बराबर पेड़ लगाएगा | उदाहरणार्थ, कक्षा I का एक अनुभाग 1 पेड़ लगाएगा, कक्षा दो के दो अनुभाग II पेड़ लगाएगा, कक्षा III का एक अनुभाग 3 पेड़ लगाएगा, इत्यादि और ऐसा कक्षा XII तक के लिए चलता रहेगा | प्रत्येक कक्षा के तीन अनुभाग हैं | इस स्कूल के विद्यार्थियों द्वारा लगाये गए कुल पेड |
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5. Arithmetic Progressions-Assignment Mathematics Class 10 In English-CBSE Notes
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