using PMI, prove that

1 x 3 + 3 x 5 + 5 x 7 + ........ = n (4n^{2 }+ 6n -1) / 3

Hi Narayana!

Here is the answer to your question.

Let the given statement be P(

*n*).Thus, P(

*k*+ 1) is true whenever P(*k*) is true.Hence, by the principle of mathematical induction, statement P(

*n*) is true for all natural numbers*n*.Best wishes!

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