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Real Analysis: Fibonnaci Numbers

  1. Feb 28, 2010 #1
    1. The problem statement, all variables and given/known data
    task1.jpg


    2. Relevant equations
    In the image above


    3. The attempt at a solution
    Well it's a proof. I am thinking about doing it directly. Somehow showing that sup of bn is 2 and inf of bn is 1 and therefore the sequence must be between 1 and 2 for all n. But I am not sure, please help!!
     
  2. jcsd
  3. Feb 28, 2010 #2
    Try using fact 2 to find an equation involving the bn terms.
     
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