What makes Pascal's triangle so powerful? It has deep connections to the Binomial Theorem and the Central Limit Theorem. And hidden within it are the powers of 2, the Fibonacci sequence, and the fractal Sierpinski's Triangle! Let's explore these patterns and see why they show up in Pascal's Triangle.
00:00 Introduction
00:14 What is Pascal's Triangle?
01:07 Connections to Algebra
04:07 Connections to Probability
06:52 Powers of 2
07:26 Fibonacci Sequence
09:25 Fractal -- Sierpinski's Triangle