Find the sum of first n natural numbers.
First n natural numbers are 1, 2, 3,…, n.
To find: sum of these n natural numbers.
The natural numbers forms an AP with first term 1 and common difference 1.
Now, Sum of first n terms of an AP is given by:
Sn = [2a + (n - 1)d]
where a is the first term and d is the common difference.
∴ Sum of first n natural numbers is given by:
Sn = [2(1) + (n - 1)(1)]
= [2 + n - 1]
= [n + 1]
∴ Sum of first n natural numbers is n(n + 1)/2.