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Math Help - Power Divisibility Proof

  1. #1
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    Power Divisibility Proof

    Hey all, some help with these proofs would be appreciated:

    2^(2k+1) + 1 is divisible by 3
    10^k + 3 * 4^(k+2) + 5 is divisible by 9


    Power is defined in the following way. Let b be a fixed integer. We define b^k for all integers k >= 0 by:

    b^0 := 1

    Assuming b^n defined, let b^(n+1) := b^n * b

    Thanks!
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  2. #2
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    Quote Originally Posted by jstarks44444 View Post
    Hey all, some help with these proofs would be appreciated:

    2^(2k+1) + 1 is divisible by 3
    10^k + 3 * 4^(k+2) + 5 is divisible by 9


    Power is defined in the following way. Let b be a fixed integer. We define b^k for all integers k >= 0 by:

    b^0 := 1

    Assuming b^n defined, let b^(n+1) := b^n * b

    Thanks!


    Since yesterday you've posted some 8-9 questions in what seems to be a blitz to get your homework done by others.

    What about showing some self effort? Show what you've tried and done and if you get stuck somewhere AFTER you've

    done something then help might arrive.

    Tonio
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