Pascal's Triangle

Pascal's Triangle is a triangular arrangement of numbers starting with 1 at the top. Each subsequent row contains numbers that are the sum of the two numbers directly above it. The first row is just 1, the second row is 1, 1, and the third row is 1, 2, 1, and so on. This pattern helps illustrate binomial coefficients, which are used in algebra for expanding powers of binomials. Additionally, the triangle reveals patterns like triangular numbers and Fibonacci numbers, demonstrating its importance in mathematics and combinatorics.