Worksheet1: Exploring Pascal's Triangle
In 1653, a French mathematician named Blaise Pascal described a triangular
arrangement of numbers corresponding to the probabilities involved in
flipping coins, or the number of ways to choose n objects from a group of m
objects.
Rows 0 through 12 look like:
As you look for patterns, try to answer the following questions:
- Can you predict the next row of numbers?
- Is there a pattern in the sums of numbers of the rows?
- Can you find a pattern in the diagonal numbers?