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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. - CBSE Class 10 - Mathematics

ConceptSum of First n Terms of an AP

Question

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?

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

S_n = n/2[2a+(n-1)d]

S_12=12/2[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.

Is there an error in this question or solution?

APPEARS IN

NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 5: Arithmetic Progressions
Ex.5.30 | Q: 17 | Page no. 113

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Solution 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. Concept: Sum of First n Terms of an AP.
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