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The Binomial Theorem, Fibonacci, and Vitruvian Dan Vitruvian Dan by flickr user nogoodreason
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Page 1: Pre-Cal 40S May 8, 2009

The Binomial Theorem, Fibonacci, and Vitruvian Dan

Vitruvian Dan by flickr user nogoodreason

Page 2: Pre-Cal 40S May 8, 2009

A wee little counting quiz now ...

test by flickr user foreversouls

Page 3: Pre-Cal 40S May 8, 2009

Simplify each of the following.

Page 4: Pre-Cal 40S May 8, 2009

Consider the digits 1, 3, 5, 7, 9. If repetitions are allowed, find:

(a) how many 3 digit numbers can be formed.

(b) How many 3 digit numbers can be formed if they must be less than 600 and divisable by 5.

Page 5: Pre-Cal 40S May 8, 2009

In how many ways can 7 books be arranged on a shelf if 3 particular books must be together?

Page 6: Pre-Cal 40S May 8, 2009

Expand and simplify ...

a + b

Page 7: Pre-Cal 40S May 8, 2009

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

11 1

1 2 11 3 3 1

1 4 6 4 1

Page 8: Pre-Cal 40S May 8, 2009

Evaluate each term ...

Page 9: Pre-Cal 40S May 8, 2009

Pascal's TriangleHow many different patterns can you find in the triangle?

Page 10: Pre-Cal 40S May 8, 2009

Pascal's TriangleHow many different patterns can you find in the triangle?

Page 11: Pre-Cal 40S May 8, 2009

Read the DaVinci Code, it's fun! ;-)

Look again at Pascal's Triangle. Can you find:• the "hockey stick" pattern?• The Fibonacci Sequence?