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
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