JEE Main & Advanced
Mathematics
Binomial Theorem and Mathematical Induction
Question Bank
Mathematical induction and Divisibility problems
question_answer
If P(n) = 2 + 4 + 6 +?.+ 2n, n Î N, then P(k) = k(k + 1) + 2 Þ P(k + 1) = (k + 1)(k + 2) + 2 for all k Î N. So we can conclude that P(n) = n(n + 1) + 2 for