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Math Help - proof by induction

  1. #1
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    proof by induction

    prove by induction that (7^n)+(4^n)+(1^n) is divisible by six for all n greater than or equal to one

    thanks for any help
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  2. #2
    Senior Member
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    1. Find 7^n+4^n+1^n for n=1, and show it is divisible by 6.

    2. Find \left(7^{n+1}+4^{n+1}+1^{n+1}\right)-\left(7^n+4^n+1^n\right). Use it to show that 7^{n+1}+4^{n+1}+1^{n+1} is divisible by 6 if 7^n+4^n+1^n is.

    --Kevin C.
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