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

  • question_answer
    For each \[n\in N\], the correct statement is

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

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

    C) \[{{n}^{4}}<{{10}^{n}}\]

    D) \[{{2}^{3n}}>7n+1\]

    Correct Answer: C

    Solution :

    Let\[n=1\], then option (a), (b) and (d) eliminated. Only option (c) satisfied.


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