Question:

On the world environment day tree plantation programme was arranged on a land which is triangular in shape. Trees are planted such that in the first row there is one tree, in the second row there are two trees, in the third row three trees and so on. Find the total number of trees in the 25 rows.

Answer:

First term a = 1
Second term t1 = 2
Third term t3 = 3
Common difference d = t3 – t2 = 3 – 2 = 1
We need to find total number of trees when n = 25
Thus, by using sum of nth term of an A.P. we will find its sum

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 29

Where, n = no. of terms
a = first term
d = common difference
Sn = sum of n terms
We need to find S25
Thus, on substituting the given value in formula we get,

Maharashtra Board Solutions for Class 10 Maths Part 1 Chapter 2 - Image 30

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