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 1 a section of class 2 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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Given
there are three sections in each class.
there are 12 classes
if you are in class 1 you will plant 1 tree.
and so on.........
so number of trees planted by class 1 will be 1 x number of sections
that is 1 x 3 = 3
Similarly
number of trees planted by class 2 = 2 x 3 = 6
number of trees planted by class 3 = 3 x 3 = 9
............
number of trees planted by class 12 = 12 x 3 = 36
The sequence will be 3,6,9,........,36.
This in an AP cause the difference between all the terms remains the same.
d = 3
So the total number of trees planted will be as follows..........
Sn= n/2 [2a+(n-1)d]
S12 = 12/2 [6+(12 - 1)(3)]
S12 = 6(6+33) = 6 39 = 234
234 is the total number if trees planted.
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