Clay Kitchings :: EMAT 6600 :: Induction Problem

 

 

 

When taking EMAT 6600, I was also taking MATH 6000 at UGA. In this MATH course, I encountered many mathematical induction problems (requiring proofs) at the beginning of the semester. I found one that was more involved than the others and I learned the most from this particular problem. I believe this one required a considerable amount of self-regulation. I also learned the value of substituting more complex expressions for relatively easier to read expressions.

 

 

Problem: Prove by induction:

For all

 

 

 

Proof by mathematical induction: