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JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Mathematical induction and Divisibility problems

  • question_answer
    The statement P(n) ?\[1\times 1\,!\,+\,2\times 2\,!\,+\,3\times 3\,!\,+.....+n\times n\,!=(n+1)\,!\,-1\]? is

    A) True for all n > 1

    B) Not true for any n

    C) True for all n Î N

    D) None of these

    Correct Answer: C

    Solution :

    Check for\[n=1,\,2,\,3\].... it is true for all \[n\in N\].


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