Q22 of 47 Page 1

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. Which value is shown in this question?

Class: 1 + 2 + 3 + 4 + ……. + 12

Section: (2 × 1) + (2 × 2) + (2 × 3) + (2 × 4) + ……. + (2 × 12)


Trees planted: (2 × 2) + (2 × 4) + (2 × 6) + (2 × 8) + ……... + (2 × 24)


= 4 + 8 + 12 + 16 + 20 + 24 + …… + 48


Sum of an A.P. with first term a and common difference


=


= 6 [8 + 44]


= 312 trees


Value: We should plant trees to help reduce global warming.


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