Pascal's Triangle was developed primarily to illustrate the coefficients of binomial expansions and to provide a systematic way of calculating combinations. Although it is named after Blaise Pascal, the triangle's properties were known in various forms in different cultures long before him, such as in ancient China, India, and Persia. It serves as a valuable tool in combinatorics, algebra, and probability, making it a foundational concept in mathematics. Additionally, it highlights various mathematical patterns, such as Fibonacci numbers and triangular numbers.
Pascal's triangle
pascal
The Sierpinski Triangle
pascals triangle is used to solve math problems that have chance of 2 different outcomes, such as flipping a coin
in the 11th century...
35
1,4,6,4,1
(a+b)7
Blaise Pascal.
Pascal didn't invent pascals triangle, he just made It popular. A Chinese mathematician invented it in about 1015.
The expanded binomial is another name for Pascal's triangle.
Expansion of the Binomial a+b