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

  • question_answer
    For every natural number n

    A) \[n>{{2}^{n}}\]

    B) \[n<{{2}^{n}}\]

    C) \[n\ge {{2}^{n}}\]

    D) \[n\le {{2}^{n}}\]

    Correct Answer: B

    Solution :

    Let \[n=1\] then option (a) and (d) is eliminated. Equality can't attained for any value of n so, option (b) satisfied.


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