What Is Pascal’s Triangle Used for Today?
Pascal’s Triangle, named after French mathematician Blaise Pascal, is used in various algebraic processes, such as finding tetrahedral and triangular numbers, powers of two, exponents of 11, squares, Fibonacci sequences, combinations and polynomials. The triangle was actually invented by the Indians and Chinese 350 years before Pascal’s time.
The numbers in Pascal’s Triangle are the binomial coefficients of the polynomial “x + 1”. The triangle is used in probability to find combinations of numbers. It contains the triangular numbers in the third diagonal and the tetrahedral numbers in the fourth. The Fibonacci numbers can be found by adding together the numbers in each diagonal row. If each row is summed, the powers of two are found, and the powers of 11 are found by reading across each row. The square of a number can be found in the triangle by adding the two numbers next to and below it.