Basics
Number 1
What kind of number pattern appears along the outer edges of the triangle?
1s
What does Pascal’s Triangle help expand?
binomials
Pascal’s Triangle is named after a mathematician from which country?
France
Each number in Pascal’s Triangle is the sum of what?
The two numbers above it
What famous sequence is found in the diagonals of Pascal’s Triangle?
Fibonacci sequence
What is the expansion of ((a + b)^2)?
(a^2 + 2ab + b^2)
Which type of triangle (by shape) is formed by the layout of the numbers?
Equilateral triangle
What is the second row of Pascal’s Triangle?
1 , 1
Which row has all odd numbers: Row 1, Row 2, or Row 4?
Row 1
What row of Pascal’s Triangle is used for ((x + y)^4)?
Row 4
Which mathematical concept does Pascal’s Triangle help visualize: Probability, Geometry, or Algebra?
Probability
How many elements are in the 4th row of Pascal’s Triangle?
5
What is the sum of the numbers in the 3rd row?
8
What is the coefficient of (x^2y^2) in ((x + y)^4)?
6
How can Pascal’s Triangle be used in calculating lottery odds?
Combinations
What is the 7th row of Pascal’s Triangle? (Start counting from 0)
1, 7, 21, 35, 35, 21, 7, 1
What is the sum of all numbers in the 6th row?
64
What is the full expansion of ((x + 2)^3)?
(x^3 + 6x^2 + 12x + 8)
What is a real-world use of Pascal’s Triangle in computer science?
Calculating recursive functions or binomial coefficients