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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.
