In a school, students thought of planting trees in and around the school to reduce air pollution It was - Maths - Arithmetic Progressions

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?

Gopal Mohanty · Accepted 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
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= 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