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Discrete Math - Strong Induction Question

  1. Feb 2, 2017 #1
    1. The problem statement, all variables and given/known data
    Prove by Strong Mathematical Induction

    5_4_09_pic03.png

    2. Relevant equations
    N/A

    3. The attempt at a solution
    The steps to solving this problem are shown below. I understand all steps of the problem until the part where it says 44/49 becomes 49/49 since 44 < 49. Can someone please explain the logic behind that step? Thank you. 5_4_09_pic01.png 5_4_09_pic01.png 5_4_09_pic2.png
     
    Last edited: Feb 2, 2017
  2. jcsd
  3. Feb 2, 2017 #2

    FactChecker

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    Gold Member

    If a>0 then a*(44/49) < a*(49/49).
    Sort of like saying that f(x) = ax is strictly increasing.
     
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