using PMI, prove that

1 x 3 + 3 x 5 + 5 x 7 + ........ = n (4n²+ 6n -1) / 3

Question

using PMI, prove that
1 x 3 + 3 x 5 + 5 x 7 + = n (4n2 + 6n -1) / 3

Sunanta Meitei · Accepted Answer

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!

using PMI, prove that 1 x 3 + 3 x 5 + 5 x 7 + ........ = n (4n2 + 6n -1) / 3