CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.3 Question 14
14. Find the sum of the odd numbers between 0 and 50.
The odd numbers between and are
It is an arithmetic progression because the difference between consecutive terms is constant.
First term = a = 1
Common difference = 3 - 1 = 2
Last term =
We do not know how many odd numbers are present between 0 and 50. Therefore, we need to find n first.
Using formula , to find nth term of arithmetic progression, we can say that
Applying formula, to find sum of n terms of AP , we get