Properties
Binomial Expantion
Patterns & History
100

What number appears at both ends of every row?

1

100

Expand (x + 1)².

x² + 2x + 1

100

Who is Pascal’s Triangle named after?

Blaise Pascal

200

What is the sum of row 3, starting at row 0?

8

200

Expand (x + 1)³

x³ + 3x² + 3x + 1

200

What is the sum of row 4, starting at row 0?

16

300

What number comes next: 1, 4, 6. 4,...

1

300

Expand (x + 2)²

x² + 4x + 4

300

What number pattern appears in the diagonals?

Natural numbers and triangular numbers

400

What is row 5 of Pascal's Triangle?

1, 5, 10, 10, 5, 1

400

Expand (x + 2)³.

x³ + 6x² + 12x + 8

400

What is the sum of row 6, starting at row 0?

64

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