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Mathematical induction

  1. Oct 21, 2007 #1
    1. The problem statement, all variables and given/known data

    trying to prove left-hand side = right-hand side

    this is where i'm stuck:

    [tex]
    1 - [1 / (x+1)!] + [(x+1) / (x+2)!] = 1 - [1 / (x+2)!]
    [/tex]

    2. Relevant equations



    3. The attempt at a solution

    i tried this but can't get anywhere

    get a common demoninator:
    1 - [(x+2)! + (x+1)*(x+1)! / (x+1)!*(x+2)!]

    anyone seeing what i'm not seeing?
     
  2. jcsd
  3. Oct 21, 2007 #2
    That should be a minus.

    Pull out the (x+1)! from the numerator of the second term and simplify.
     
  4. Oct 22, 2007 #3
    A useful trick is to write (x+2)! as (x+2)(x+1)!
     
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