A Pascal triangle is a pattern of numbers arranged in a triangle shape. Each number is the sum of the two numbers above it, except for the ones on the edges, which are always 1. The Pascal triangle can be used to find the coefficients of a binomial expansion, such as [tex]\boxed{(x+y)^{n}}[/tex], where n is any positive integer. For example, if n = 3, then the coefficients are 1, 3, 3, and 1, which are the numbers in the fourth row of the Pascal triangle. The Pascal triangle also has many other interesting properties and patterns, such as the Fibonacci sequence, the hockey stick identity, and the Sierpinski triangle
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Pascal triangle means the starting pattern continue with the same pattern.
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A Pascal triangle is a pattern of numbers arranged in a triangle shape. Each number is the sum of the two numbers above it, except for the ones on the edges, which are always 1. The Pascal triangle can be used to find the coefficients of a binomial expansion, such as [tex]\boxed{(x+y)^{n}}[/tex], where n is any positive integer. For example, if n = 3, then the coefficients are 1, 3, 3, and 1, which are the numbers in the fourth row of the Pascal triangle. The Pascal triangle also has many other interesting properties and patterns, such as the Fibonacci sequence, the hockey stick identity, and the Sierpinski triangle
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