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Induction question

  1. Jan 5, 2009 #1
    i cant understand this step in this induction

    http://img383.imageshack.us/img383/5677/99884212ia5.gif [Broken]
    Last edited by a moderator: Apr 24, 2017 at 10:00 AM
  2. jcsd
  3. Jan 5, 2009 #2


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    Because if an + L - e < an+1,

    then an + 2(L - e) < an+1 + L - e

    but an+1 + L - e < an+2

    so an + 2(L - e) < an+1 + L - e < an+2 :smile:

    Now try it for the other half, and write it out properly as an induction proof. :wink:
  4. Jan 6, 2009 #3
    in the total case of K
    we are given some expression
    and we presume that its true
    so to prove the K+1 case

    from where did they use the left side development
    it seems that the are using the given expression itself to proove it
    http://img149.imageshack.us/img149/6359/10189365rk3.gif [Broken]
    Last edited by a moderator: Apr 24, 2017 at 10:02 AM
  5. Jan 6, 2009 #4
    this is the expanded proove
    http://img220.imageshack.us/img220/1912/13164747xs4.gif [Broken]
    Last edited by a moderator: Apr 24, 2017 at 10:02 AM
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