Pascal's Triangle

Pascal's triangle is a triangle of integers which is infinite and symmetrical.

Triangle of Integers

Pascal's Triangle Properties

1. The top number is 1, the second line corresponds to the combinatorial numbers of 1, the third one of 2, the fourth one of 3 and this continues.

2.All the rows begin and end at 1.

Properties of Pascal's Triangle

3.All rows are symmetrical.

Properties of Pascal's Triangle

4.Each number is obtained by adding the two numbers that are located above it (diagonally above).

Using these properties, Pascal's triangle can be written:

Pascal's Triangle

Pascal's triangle is very useful for calculating coefficients of the Binomial Theorem.