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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 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, If there are three sections of each class, then the number of trees planted is  
  1. 78
  2. 234
  3. 39
  4. 156


Solution

The correct option is B 234
The number of tree planted by class I is 1×3.
The number of tree planted by class II is 2×3.
The number of tree planted by class III is 3×3.
       
The number of tree planted by class XII is 12×3.

The total number of tree planted 
=3+6+9++36
Using sum of n terms formula of A.P.
=122[3+36]=234

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