If an=7+7+7+⋯having n radical signs then by methods of mathematical induction which of the following is true

If an=7+7+7+having n radical signs then by methods of mathematical induction which of the following is true

  1. A

    an>7n1

  2. B

    an>3n1

  3. C

    an<4n1

  4. D

    an<3n1

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    Solution:

    We have a1=7<4 Assume ak<4,for some natural number k.

    We have  ak+1=7+ak<7+4<4

    an<4n1.

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