In a school, students decided to plant 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 five times of the class to which the respective section belongs. If there are 1 to 10 classes in the school and each class has three sections, find how many trees were planted by the students?

Open in App

Solution

According to the question, there are two sections of each class so the number of trees that are planted by students of class I, class II, class III, …..& class XII are:

Number of trees planted by the students of two sections of class 1 = 2 $\times$ 2= 4
Number of trees planted by the students of two sections of class 2 = 2 $\times$ 4 = 8
Similarly,
Number of trees planted by the students of two sections of class 3 = 2 $\times$ 6 = 12
Number of trees planted by the students of two sections of class 12 = 2 $\times$ 24 = 48
So, the number of trees planted by the students of two sections of different classes are 4, 8, 12, …… 48
This series forms an AP.

Here,first term( a) = 4, common Difference (d ) = 8 – 4 = 4, last term (l)= 48 and (number of terms) n = 12

Number of trees planted by the students = sum of 12 terms of above AP
$S_{n}$ = $\frac{n}{2}$ [a + l ],
$S_{n}$ = $\frac{12}{2}$ [ 4 + 48]
$S_{n}$ = 6 $\times$ 52 = 312

Hence, the total number of trees planted by the students is 312.

Suggest Corrections

Similar questions

Q. In a school, students decided to plant 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 double of the class in which they are studying. If there are

1

12

classes in the school and each class has two sections, find how many trees were planted by the students.

In a school, students decided to plant 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 double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by students. Which value is shown in the question?

Q. In a school, students decided to plant 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 double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by students. Which value is shown in the question? [CBSE 2014]

In a school, students decided to plant trees in and around the school to reduce air polution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by the studetns.

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 $I I$ will plant $2$ trees and so on till Class $X I I$ . There are three sections in each class. How many trees will be planted by the students

Join BYJU'S Learning Program