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Mathematical Induction Contradiction  TOPIC_SOLVED

Hi, Can anyone help me understand where I am misunderstanding the principles of induction? I am trying to understand induction by using it to prove a statement is false (below) but I am not "getting it". Here is the principle of Mathematical Induction (from http://www.math.toronto.edu/oz/t...
by simpleman
on Tue Aug 07, 2012 9:22 pm
 
Forum: Advanced Algebra ("pre-calculus")
Topic: Mathematical Induction Contradiction
Replies: 2
Views: 2308

Can one use mathematical induction to disprove a statement?  TOPIC_SOLVED

I have a textbook and have researched several websites and have found numerous examples of induction to proving statements are always true, but no examples where induction proves a statement false (except where n=1 (or the base case) is false). Can induction even prove a statement is false (when the...
by simpleman
on Wed Aug 08, 2012 1:23 am
 
Forum: Discrete Math
Topic: Can one use mathematical induction to disprove a statement?
Replies: 4
Views: 3929

Re: Mathematical Induction Contradiction  TOPIC_SOLVED

Thank you very much.

Link to a very similar thread I started: http://www.purplemath.com/learning/viewtopic.php?f=15&t=2675 which may also be helpful to anyone with similar questions
by simpleman
on Thu Aug 09, 2012 4:57 am
 
Forum: Advanced Algebra ("pre-calculus")
Topic: Mathematical Induction Contradiction
Replies: 2
Views: 2308

Re: Can one use mathematical induction to disprove a stateme  TOPIC_SOLVED

Nona, thank you so much. Today I looked at that link http://www.purplemath.com/modules/inductn2.htm, which was in fact more explanatory than anything I could find, and wrote out the proof they were doing on my notepad. This helped and I realized something which I think was doing incorrectly that had...
by simpleman
on Thu Aug 09, 2012 5:02 am
 
Forum: Discrete Math
Topic: Can one use mathematical induction to disprove a statement?
Replies: 4
Views: 3929

Re: Can one use mathematical induction to disprove a stateme  TOPIC_SOLVED

Thank you so much. It appears that I am starting to "get" it, but I also need to be more thorough in these proofs; I'll work on that.
by simpleman
on Fri Aug 10, 2012 5:48 am
 
Forum: Discrete Math
Topic: Can one use mathematical induction to disprove a statement?
Replies: 4
Views: 3929

Finding Derivative Using The Definition vs. The Product Rule  TOPIC_SOLVED

My Text Book asked me to solve this problem using only the definition of the derivative. I found the correct answer using the definition of the derivative and then I wanted to test the product rule and the power rule to see if it would yield the same answer. To my frustration, I am getting a differe...
by simpleman
on Thu Oct 18, 2012 12:12 am
 
Forum: Calculus
Topic: Finding Derivative Using The Definition vs. The Product Rule
Replies: 1
Views: 1663

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