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4^(n)-1 is divisible by 3, for each natu...

`4^(n)-1` is divisible by 3, for each natural number n.

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Knowledge Check

  • Using principle of mathematical induction, prove that 7^(4^(n)) -1 is divisible by 2^(2n+3) for any natural number n.

    A
    `2^(2n)`
    B
    `2^(2k+5)`
    C
    `3^(2n)`
    D
    `2^(n+3)`

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