in a school, students thought of planting trees in and around the school to reduce air pollution. 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. there are three sections of each class. how many trees will be planted by the students?

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get in a school, students thought of planting trees in and around the school to reduce air pollution. 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. there are three sections of each class. how many trees will be planted by the students? from screen.

In a school students thought of planting trees in and around the school to reduce air pollution It w...

Free solutions for NCERT Solutions - Mathematics , Class 10 Chapter 6 - Arithmetic Progressions Arithmetic Progressions - Exercise 5.3 question 27. These explanations are written by Lido teacher so that you easily understand even the most difficult concepts

NCERT Solutions Class 10 Mathematics Solutions for Arithmetic Progressions - Exercise 5.3 in Chapter 5 - Arithmetic Progressions

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In a school, students thought of planting trees in and around the school to reduce air pollution. 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. There are three sections of each class. How many trees will be planted by the students?

Answer:

It can be observed that the number of trees planted by the students is in an AP.

1, 2, 3, 4, 5………………..12

First term, a = 1

Common difference, d = 2−1 = 1

\mathrm{S}_{\mathrm{n}}=\frac{\mathrm{n}}{2}[2 \mathrm{a}+(\mathrm{n}-1) \mathrm{d}] \\ \mathrm{S}_{12}=\frac{12}{2}(2(1)+(12-1)(1)) \\ =6(2+11) \\ =6(13) \\ =78

S n = 2 n [2a+(n−1)d] S 12 = 2 12 (2(1)+(12−1)(1)) =6(2+11) =6(13) =78

Therefore, number of trees planted by 1 section of the classes = 78

Number of trees planted by 3 sections of the classes = 3×78 = 234

Therefore, 234 trees will be planted by the students.

In a School, Students Thought of Planting Trees in and Around the School to Reduce Air Pollution. 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.

In a School, Students Thought of Planting Trees in and Around the School to Reduce Air Pollution. 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.

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SOLUTION

It can be observed that the number of trees planted by the students is in an AP.

1, 2, 3, 4, 5………………..12

First term, a = 1

Common difference, d = 2 − 1 = 1

Sn=n2[2a+(n-1)d]

S12=122[2(1)+(12-1)(1)]

= 6 (2 + 11) = 6 (13) = 78

Therefore, number of trees planted by 1 section of the classes = 78

Number of trees planted by 3 sections of the classes = 3 × 78 = 234

Therefore, 234 trees will be planted by the students.

Concept: Sum of First n Terms of an A.P.

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Chapter 5: Arithmetic Progressions - Exercise 5.3 [Page 113]

Q 17 Q 16 Q 18

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NCERT Class 10 Maths

Chapter 5 Arithmetic Progressions

Exercise 5.3 | Q 17 | Page 113

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