Patterns in Pascals Triangle - Free Printable

Educational worksheet: Patterns in Pascals Triangle. Download and print for classroom or home learning activities.

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- The image displays Pascal's Triangle, where each number is the sum of the two numbers directly above it.
- The highlighted numbers (7, 21, 35, 35, 21, 7) are from the 8th row (if counting the top '1' as row 0).
- The equation `7² = 28 + 21` uses numbers from the 7th row (28 and 21 are adjacent in row 7).
- The equation `7² = 84 - 35` uses 84 from row 9 and 35 from row 8.
- The equation `7² = (210 + 35) - (126 + 70)` combines numbers from rows 10, 8, 9, and 9.
- All three equations correctly evaluate to 49, which is 7².
- This demonstrates a property of Pascal's Triangle: specific combinations of its entries can be manipulated through addition and subtraction to yield perfect squares.

Parent Tip: Review the logic above to help your child master the concept of pascal triangle worksheet with answers.

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