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The Binomial
Theorem,
Fibonacci, and
Vitruvian Dan




      Vitruvian Dan by flickr
      user nogoodreason
Expand and simplify ...


           a+b
Find a pattern, add two more rows to the triangle ...

                                         1
                        ...
Evaluate each term ...
Pascal's Triangle
   How many different patterns can you find in the triangle?
Pascal's Triangle
     How many different patterns can you find in the triangle?
 http://mathworld.wolfram.com/TetrahedralN...
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
Pre-Cal 40S Slides May 5, 2008
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Pre-Cal 40S Slides May 5, 2008

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Applications of the binomial theorem.

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Transcript of "Pre-Cal 40S Slides May 5, 2008"

  1. 1. The Binomial Theorem, Fibonacci, and Vitruvian Dan Vitruvian Dan by flickr user nogoodreason
  2. 2. Expand and simplify ... a+b
  3. 3. Find a pattern, add two more rows to the triangle ... 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1
  4. 4. Evaluate each term ...
  5. 5. Pascal's Triangle How many different patterns can you find in the triangle?
  6. 6. Pascal's Triangle How many different patterns can you find in the triangle? http://mathworld.wolfram.com/TetrahedralNumber.html
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