10263
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Pascal's Triangle and the Binomial Theorem
This Demonstration illustrates the direct relation between Pascal's triangle and the binomial theorem. This very well-known connection is pointed out by the identity
, where the binomial coefficients can be obtained by using Pascal's triangle.
Contributed by:
Pablo Alberca Bjerregaard
(University of Malaga, Spain)
SNAPSHOTS
RELATED LINKS
Binomial Theorem
(
Wolfram
MathWorld
)
Pascal's Triangle
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Pascal's Triangle and the Binomial Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/PascalsTriangleAndTheBinomialTheorem/
Contributed by:
Pablo Alberca Bjerregaard
(University of Malaga, Spain)
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Pascal-like Triangles Made from a Game
Hiroshi Matsui, Toshiyuki Yamauchi, Daisuke Minematsu, and Ryohei Miyadera
Three-Distance Theorem
Eric Rowland
Binomial Theorem (Step-by-Step)
Bruce Colletti
Pascal-like Triangles Mod k
Hiroshi Matsui, Toshiyuki Yamauchi, Daisuke Minematsu, and Ryohei Miyadera
Continuous Binomial Function in 3D
Larry Kealey
What Triangles Are in the Triangle?
Jaime Rangel-Mondragon
Schinzel's Theorem
Jay Warendorff
Euler's Generating Function for the Partition Numbers
George Beck
Successive Differences of Sequences
George Beck
Counting Paths through a Grid
George Beck and Rob Morris
Related Topics
Combinatorics
Discrete Mathematics
Number Theory
Series
High School Finite Mathematics
High School Mathematics
High School Precalculus
Browse all topics
Related Curriculum Standards
US Common Core State Standards, Mathematics
HSA-APR.C.5
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+