Let 1, 3, 5, 7, 9, n odd numbers be the first.
It is an Arithmatic Progression, whose first term , and common difference (d) is 2.
The total of these n terms
first n odd numbers added together
Hence, the sum of first n odd natural numbers is equal to . Hence, proved.
Proving by example
Sum of first 3 odd numbers is
First 3 odd numbers are 1+3+5=9
Hence ,Sum of first n odd natural numbers is
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