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 the students.

Question

Filo · Accepted Answer

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

I

I, class

III

, …..& class

X II

are:

Number of trees planted by the students of two sections of class

I = 2 \times 2 = 4

Number of trees planted by the students of two sections of class

II = 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, \dots\dots 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

.

Question Text	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 the students.
Answer Type	Text solution:1
Upvotes	150

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