Q. 174.2( 9 Votes )

Find the sum of first n natural numbers.

Answer :

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.


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