Difference between revisions of "Power's of 2 in pascal's triangle"

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                             <math>\binom{0}{0}</math>
 
                             <math>\binom{0}{0}</math>
                 <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}{2}</math>
 
     <math>\binom{2}{0}</math>          <math>\binom{2}{1}</math>          <math>\binom{2}{2}</math>

Revision as of 11:01, 16 June 2019

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

                           $\binom{0}{0}$
                $\binom{1}{0}$                  $\binom{1}{1}$
   $\binom{2}{0}$           $\binom{2}{1}$           $\binom{2}{2}$