Pascal's triangle: Difference between revisions

[[wp:Pascal's triangle|Pascal's triangle]] is an arithmetic and geometric figure often associated with the name of [[wp:Blaise Pascal|Blaise Pascal]], but also studied centuries earlier in India, Persia, China and elsewhere.

 

1

1 1

1 2 1

where each element of each row is either 1 or the sum of the two elements right above it.

 

:::   '''1'''   (since the last element of each row doesn't have two elements above it)

 

1

1 1

1 2 1

1 3 3 1

 

Each row &nbsp; <tt> n </tt> &nbsp; (starting with row &nbsp; 0 &nbsp; at the top) shows the coefficients of the binomial expansion of &nbsp; <big><big> (x + y)ⁿ. </big></big>