the square of odd natural number is
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Sum of Squares of First n Odd Numbers.
Sum of: Formula
Squares of first odd natural numbers Σ(2n-1)2 =[n(2n+1)(2n-1)]/3
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★Squares of odd numbers are odd, since (2n + 1)2 = 4(n2 + n) + 1. It follows that square roots of even square numbers are even, and square roots of odd square numbers are odd. As all even square numbers are divisible by 4, the even numbers of the form 4n + 2 are not square numbers.
★It is basically the addition of squared numbers.
★Sum of Squares of First n Odd Numbers.
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