Working with a partner, study the following array of numbers. What patterns do you see in the arrangement of the numbers? Describe each pattern using words and symbols.
Exploring Pascal's Triangle
As you look for patterns, try to answer the following questions:
See if you can find:
- Can you predict the next row of numbers?
- Is there a pattern in the sums of the numbers in the rows?
- Do any numbers repeat?
1, 2, 3, 4, ...
1, 3, 6, 10, ...
powers of 2
2, 4, 8, 16, ...
1, 1, 2, 3, 5, 8, ...
Discussion and Solutions
[Pascal Web Unit]
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