Find the Sum of First n odd Natural Numbers

Answer:- Natural numbers are part of a numerical system. All the positive integers are composed in this number system. From 1 to infinity, all are under it. In this question, the answer will be n2  

The first n odd natural numbers are provided by 1,3,5,7,9,….,( 2n-1). This is formed through Arithmetic Progression.

Here,

a=1

d=2

tn= (2n-1)

The formula of an A.P series –

S = (n/2)[2a + (n − 1) × d]

S = (n /2 )[2 + 2n – 2]

S = (n /2) [2n]

S = n2

Therefore the sum of first n odd natural numbers is given by Sn =n2.