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Abstract Algebra modular Arithmatic Proof

  1. Apr 9, 2009 #1
    1. The problem statement, all variables and given/known data

    Prove 10n18 10 for all n ϵ N

    2. Relevant equations


    I have no idea where to even begin this proof.
    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 9, 2009 #2
    What is the definition of [tex]a\equiv_n b[/tex] ?
     
  4. Apr 9, 2009 #3
    it is said to be congruent integer modulo if n|a-b
     
  5. Apr 9, 2009 #4
    So apply this definition to your problem. What are you trying to show? I.e., you are trying to show ____ is divisible by ____?

    What would have to be true for a number to be divisible by ____?
     
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