Manipal Engineering Manipal Engineering Solved Paper-2008

  • question_answer
    For\[n\in N,\,\,{{10}^{n-2}}\ge 81n\], is

    A) \[n>5\]                

    B) \[n\ge 5\]

    C) \[n<5\]                

    D) \[n>8\]

    Correct Answer: B

    Solution :

    Let\[P(n):{{10}^{n-2}}\ge 81n\] For\[n=4\],         \[{{10}^{2}}81\times 4\] For\[n=5\],         \[{{10}^{3}}81\times 5\] Hence, by mathematical induction for\[n\ge 5\], the proposition is true.


You need to login to perform this action.
You will be redirected in 3 sec spinner