Prove by the principal of mathematcal induction that for all `n in N`.
`1^(2) + 3^(2) + 5^(2) + …… + (2n - 1)^(2) = (n(2n - 1) (2n + 1))/(3)`

Explanation

Let `P (n)` be the given statement.


i.e.,` P (n) : 1^2 + 3^2+ 5^2+ .... + (2n - 1)^2 = [n (2n - 1)(2n + 1)]/3`


For `n = 1,`



`P (1) : 1^2 = [1 (2.1 - 1)(2.1 + 1)]/3`
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