Prove the following by the principle of mathematical induction: \( 1+3+5+\ldots+(2 n-1)=n^{2} \)...

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Prove the following by the principle of mathematical induction:
\( 1+3+5+\ldots+(2 n-1)=n^{2} \) i.e., the sum of first \( n \) odd natural numbers is \( n^{2} \)
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