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Help with contractive sequence proof

  1. Oct 24, 2004 #1
    Can someone help me prove that the following sequence is contractive?

    Let a1= 1 and an+1=1/5(an)^2 - 1


    I understand the definition of a contractive sequence, but I am not sure how to formally prove this,
     
  2. jcsd
  3. Oct 24, 2004 #2

    HallsofIvy

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    Okay, what is the definition of a "contractive sequence"? I know the definition of a "contractive mapping" but I don't recall seeing it applied to a sequence!
     
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