1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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: May 3, 2017
  2. jcsd
  3. Jan 5, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper

    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: May 3, 2017
  5. Jan 6, 2009 #4
    this is the expanded proove
    http://img220.imageshack.us/img220/1912/13164747xs4.gif [Broken]
    Last edited by a moderator: May 3, 2017
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook