Pascal's Triangle: Difference between revisions

From wikiluntti
Line 25: Line 25:
=== Pascal's triangle ===
=== Pascal's triangle ===


<math>
[[File:Pascaltriangle.svg|thumb|Pascal's Triangle]]
\begin{tabular}{rccccccccc}
 
$n=0$:&    &    &    &    &  1\\\noalign{\smallskip\smallskip}
The coefficients of binomial expansion can be easily seen from the Pascal triangle.
$n=1$:&    &    &    &  1 &    &  1\\\noalign{\smallskip\smallskip}
$n=2$:&    &    &  1 &    &  2 &    &  1\\\noalign{\smallskip\smallskip}
$n=3$:&    &  1 &    &  3 &    &  3 &    &  1\\\noalign{\smallskip\smallskip}
$n=4$:&  1 &    &  4 &    &  6 &    &  4 &    &  1\\\noalign{\smallskip\smallskip}
\end{tabular}
</math>

Revision as of 19:33, 19 October 2022

Introduction

Binomial expansion

Pascal's triangle

Pascal's Triangle

The coefficients of binomial expansion can be easily seen from the Pascal triangle.