Math For All: Exploring Patterns in Pascal’s Triangle

A diagram of the first 11 rows of Pascal's Triangle

Here’s something to investigate:

Look at the triangle using the divisors 3, 5, and 7.

Do you see a pattern? What do 3, 5, and 7 have in common?

Now try 9. Does the pattern continue?

Can you figure out what it is about 3, 5, and 7 that causes this pattern, and why it doesn’t continue at 9?

Does it continue with other numbers larger than 9?

About benvitalis

math grad - Interest: Number theory
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