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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

    A) All n Î N

    B) n > 1

    C) n > 2

    D) Nothing can be said

    Correct Answer: D

    Solution :

    It is obvious. (Nothing can be said)


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