**CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.3 Question 14**

**14. Find the sum of the odd numbers between 0 and 50. **

**Solution:**

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**