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Homework Help: Sequence of 0,1,5 (ANT)

  1. Nov 17, 2009 #1
    Construct a sequence that visits the numbers 0,1,5 infinitely often.
    A sequence Sn visits a number A when for infinitely many n in N, Sn = A. Example: The sequence (-1)^n visits -1 and 1 infinitely.
  2. jcsd
  3. Nov 17, 2009 #2


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    What's wrong with a3n= 0, a3n+1= 1, a3n+2= 5 for all n?
  4. Nov 17, 2009 #3
    But, the function doesn't visit 0,1,5 infinitely many times here does it?
  5. Nov 17, 2009 #4
    I'm sorry, I misunderstood. Thanks for the solution!
  6. Nov 17, 2009 #5
    How about the sequence which visits all N infinitely?
  7. Nov 17, 2009 #6


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    Do you have any ideas? There is one that is fairly similar to the one that visits 0,1 and 5 infinitely often
  8. Nov 17, 2009 #7
    I was wondering whether N mod N would do the trick. Or maybe considering the field R^inf and the sub field N inside that. But I am not sure of either.
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