Power's of 2 in pascal's triangle: Difference between revisions
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== Pascal's Triangle == | = Review = | ||
== Pascal's Triangle == | |||
Pascal's Triangle is a triangular array of numbers where each number is the sum of the two numbers above it. It Looks something like this: | Pascal's Triangle is a triangular array of numbers where each number is the sum of the two numbers above it. It Looks something like this: | ||
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1 4 6 4 1 | 1 4 6 4 1 | ||
And on and on... | And on and on... | ||
== Patterns and properties == | == Patterns and properties == | ||
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<math>\binom{1}{0}</math> <math>\binom{1}{1}</math> | <math>\binom{1}{0}</math> <math>\binom{1}{1}</math> | ||
<math>\binom{2}{0}</math> <math>\binom{2}{1}</math> <math>\binom{2}{1}</math> | <math>\binom{2}{0}</math> <math>\binom{2}{1}</math> <math>\binom{2}{1}</math> | ||
And on and on... | |||
Remember that <math>\binom{n}{r}=\frac{n!}{k!(n-k)!}</math> where <math>n\ger</math>. | |||
Revision as of 13:54, 16 June 2019
Review
Pascal's Triangle
Pascal's Triangle is a triangular array of numbers where each number is the sum of the two numbers above it. It Looks something like this:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
And on and on...
Patterns and properties
Pascal's Triangle can also be written like this
And on and on...
Remember that 
where $n\ger$ (Error compiling LaTeX. Unknown error_msg).
