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JEE Main & Advanced Mathematics Binomial Theorem and Mathematical Induction Question Bank Self Evaluation Test - Principle of Mathematical Induction

  • 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 \[n\in N\]

    D) None of these

    Correct Answer: C

    Solution :

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


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