Prove the following by the principle of mathematical induction: `1+3+5++(2n-1)=n^2idotedot,` the sum of first `n` odd natural numbers is `n^2dot`

Explanation

Suppose `P (n): 1 + 3 + 5 + … + (2n – 1) = n^2 `


Now, let us check for the P (n) is true for `n = 1`


`P (1) = 1 =1^2`

`1 = 1`

P (n) is true for `n = 1`


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