Pascal's Triangle is a triangular array of numbers that starts with a single 1 at the top. Each number below is the sum of the two numbers directly above it. For example, the second row has two 1s, and the third row has a 1, 2, and another 1. This pattern continues infinitely, creating a beautiful structure that reveals many mathematical properties.
This triangle is named after the French mathematician Blaise Pascal, who studied it in the 17th century. It has applications in various areas, including combinatorics, probability, and algebra, making it a valuable tool for solving problems involving combinations and binomial expansions.