Top 10 Patterns in PASCAL'S TRIANGLE

Welcome to jensenmath, your go-to destination for captivating explorations in high school level mathematics! In this video, we delve into the mesmerizing realm of Pascal's Triangle, unraveling its top 10 most intriguing patterns that will leave you in awe. From the enchanting symmetry of squares and cubes to the mystical allure of tetrahedral numbers, our journey through Pascal's Triangle is a testament to the beauty and elegance of mathematical phenomena. Witness the emergence of the Sierpinski triangle, uncover the hidden connection to the transcendental constants e and π, and prepare to be astounded by the depth of mathematical intricacies waiting to be discovered. Each pattern is meticulously curated to captivate your mathematical curiosity, presented in an order that builds anticipation with every revelation. As we progress through the video, you'll find yourself drawn deeper into the enchanting tapestry of Pascal's Triangle, unlocking new insights and revelations along the way. Here are the timestamps for each pattern: 0:00 - Pattern 10: Powers of 2 1:19 - Pattern 9: Powers of 11 3:44 - Pattern 8: Hockey Stick Pattern 4:40 - Pattern 7: Diagonals 7:08 - Pattern 6: Binomial Expansion 10:13 - Pattern 5: Squares 12:09 - Pattern 4: Fibonacci 13:20 - Pattern 3: Cubes 14:37 - Pattern 2: Sierpinski Triangle 16:16 - Pattern 1: e and π But our journey doesn't end here! For those hungry for more mathematical exploration, be sure to visit jensenmath.ca, where you can access a treasure trove of free math resources to further deepen your understanding and appreciation of the mathematical world. Let's embark on this exhilarating journey together!