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

Line 15: Line 15:
 
                             <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>          $\binom{2}{1}          \binom{2}{2}
+
     <math>\binom{2}{0}</math>          <math>\binom{2}{1}</math>           <math>\binom{2}{2}</math>

Revision as of 12:00, 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

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