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Proof by Induction Hypothesis

  1. Sep 30, 2008 #1
    1. The problem statement, all variables and given/known data

    I am not sure if this is the right spot to post this, but how would I go about proving this by induction:

    f(n) = { 6, n=1
    5n+1, otherwise

    2. Relevant equations



    3. The attempt at a solution

    Base case:

    n=1, 5(1) + 1 = 6


    Induction Hypothesis:

    6 + 11 + 16 + .... + k = 5k + 1

    now put k+1 in for k and get 5(k+1) +1 = 5k + 6

    after this I am lost.
     
  2. jcsd
  3. Oct 1, 2008 #2

    Defennder

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    Homework Helper

    ???? I don't understand what you're trying to prove. What is f(n) supposed to be such that you can write it in such a manner?
     
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