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Pascal's Triangle

The figure below, extended infinitely. A particular entry is found by adding the two numbers that are above and on either side of the element. Note: The numbers which make up Pascal's triangle are called binomial coefficients.

 

Pascal's Triangle

Note that the sum of any two adjacent elements in a row can be found between them on the next row. Each row begins and ends with 1.

 

etc.

 

See also

Binomial coefficients in Pascal's triangle, binomial theorem

 


  this page updated 15-jul-23
Mathwords: Terms and Formulas from Algebra I to Calculus
written, illustrated, and webmastered by Bruce Simmons
Copyright © 2000 by Bruce Simmons
All rights reserved
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