Discrete Math - Strong Induction Question

  • Thread starter Rosebud
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Rosebud
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Homework Statement


Prove by Strong Mathematical Induction[/B]
5_4_09_pic03.png


Homework Equations


N/A

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
 
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Answers and Replies

  • #2
FactChecker
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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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