Pascal was not the first to study the triangle of numbers known as Pascal’s Triangle, but he discovered many patterns among the rows, columns, and diagonals of the array of numbers. For the real-life applications of patterns, click here to go to the 'Routes' page.

Pascal’s Triangle Quiz

1.) Continue this pattern: 1, 3, 6, 10, 15, ___

19
20
21

2.) Continue this pattern: 1, 4, 10, 20, ___

34
35
36

3.) Continue this pattern:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

__, __, __, __, __, __

1, 5, 14, 14, 5, 1
1, 5, 12, 12, 5, 1
1, 5, 10, 10, 5, 1

4.) Why is the triangle known as Pascal’s Triangle called that?

Pascal discovered it
Pascal discovered many patterns in it
Pascal invented the triangle