# class 10 maths chapter 5

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Arithmetic Progression NCERT Solutions provided in this article are solved by experts of Embibe to help students with their Class 10 board exam preparation. If you liked the video, please subscribe to our YouTube channel so that you can get more such interesting and useful study resources. Therefore, the given series doesn’t form a A.P. 11, 8, 5, 2, …. 5.4 Sum of First n Terms of an AP NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1 are part of NCERT Solutions for Class 10 Maths. 3. Let the nth term of given A.P. In which year did his income reach Rs 7000? (vii) 0, – 4, – 8, – 12 … (iii) 1/3, 5/3, 9/3, 13/3 …. Therefore, 999-5 = 994 is the maximum possible three-digit number that is divisible by 7. For the following A.P.s, write the first term and the common difference. Therefore, 128 three-digit numbers are divisible by 7. (iv) 1/15, 1/12, 1/10, …… , to 11 terms, And common difference, d = a2 − a1 = 7−2 = 5. Therefore, the A.P. \) ., Thus, first term, a = 121 Common difference, d = 117-121= -4 By the nth term formula, Frequently Asked Questions on Chapter 5 – Arithmetic Progressions. Let there be n terms of the AP. is 24 and the sum of the 6th and 10th terms is 44. Cost of digging for first 2 metres = 150 + 50 = 200 Find the sum of first 40 positive integers divisible by 6. Here, first term, a = —5 (i) 2, 7, 12 ,…., to 10 terms. \) After you have studied lesson, you must be looking for answers of its questions. We know that So, the width of steps forms a series AP in such a way that; Volume of concrete required to build the first step = ¼ ×1/2 ×50 = 25/4, Volume of concrete required to build the second step =¼ ×1/×50 = 25/2, Volume of concrete required to build the second step = ¼ ×3/2 ×50 = 75/2. because every next term is 8 more than the preceding term. 5.2 Arithmetic Progressions The topic describes Arithmetic Progressions, its definition and relatable terms along with fine examples. Therefore, and the given series doesn’t forms a A.P. First four terms of this AP. (viii) $$-\frac{1}{2},-\frac{1}{2},-\frac{1}{2},-\frac{1}{2}, \ldots$$ Key Features of NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic progressions Has answers to different types of questions such as MCQs and long answer questions. This chapter has Arithmetic Progression Derivation of the nth term and sum of the first n terms of an A.P. Hence, ak + 1 − ak is same every time. $$\begin{array}{l}{a_{1}=a=10} \\ {a_{2}=a_{1}+d=10+10=20} \\ {a_{3}=a_{2}+d=20+10=30} \\ {a_{4}=a_{3}+d=30+10=40} \\ {a_{5}=a_{4}+d=40+10=50}\end{array}$$ (A) 97 (B) 77 (C) −77 (D) −87, (ii) 11th term of the A.P. Therefore, we can write the given AP in reverse order as; and common difference, d = 248 − 253 = −5. (xv) 12, 52, 72, 73 …. We have to find the term of this A.P. ., is its first negative term? It was decided that the number of trees, that each section of each class will plant, will be the same as the class, in which they are studying, e.g., a section of class I will plant 1 tree, a section of class II will plant 2 trees and so on till class XII. Therefore, the first three terms of this A.P. (v) Given d = 5, S9 = 75, find a and a9. between them. (iv) $$-10,-6,-2,2, \dots$$ The houses of a row are numbered consecutively from 1 to 49. Solution: 9. We know that if Rs. 2. All these are divisible by 4 and thus, all these are terms of an A.P. 200 for the first day, Rs. Thus, we can conclude now, that the rungs are decreasing in an order of AP. Hence common difference , d=2 Therefore, by the nth term formula of AP. NCERT Solutions Class 10 Maths Chapter 5 Arithmetic Progressions – Here are all the NCERT solutions for Class 10 Maths Chapter 5. 3. \)