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

  • question_answer
    \[x({{x}^{n-1}}-n{{a}^{n-1}})+{{a}^{n}}(n-1)\] is divisible by \[{{(x-a)}^{2}}\] for

    A) n > 1

    B) n > 2

    C) All n Î N

    D) None of these

    Correct Answer: C

    Solution :

    Check through options, the condition is satisfied for all \[n\in N\].


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