Resources
Binomial Theorem - Properties, Terms in Binomial Expansion, Examples, PDF. (n.d.). Byju's.
Retrieved November 1, 2022, from https://byjus.com/jee/binomial-theorem/
IBDP Student Blogs, Mathematics. (2018, April 30). Patterns in Pascal's Triangle. Oxford Study Courses.
Retrieved November 1, 2022, from https://oxfordstudycourses.com/blog/patterns-in-pascals-triangle
Jerphagnon, L. and Orcibal, . Jean (2022, August 15). Blaise Pascal. Encyclopedia Britannica.
https://www.britannica.com/biography/Blaise-Pascal
Jazeera, Al (2019, May 18). Omar Khayyam: A Persian astronomer, poet and scientist | Arts and Culture. Al Jazeera.
Retrieved November 1, 2022, from https://www.aljazeera.com/features/2019/5/18/omar-khayyam-a-persian-astronomer-poet-and-scientist
O'Connor, J., & Robertson, E. (n.d.). Jia Xian (1010 - 1070) - Biography - MacTutor History of Mathematics. MacTutor History of Mathematics Archive.
Retrieved November 1, 2022, from https://mathshistory.st-andrews.ac.uk/Biographies/Jia_Xian/
Pascal's Triangle. (n.d.). Crystal Clear Mathematics. Retrieved November 1, 2022, from
https://crystalclearmaths.com/videos-learning-resources/number/pascals-triangle/
Shah, J. (2008). A History of Pingala's Combinatorics. Northeastern University.
https://web.northeastern.edu/shah/papers/Pingala.pdf
Shute, A. L. (2012, September 8). Pascal's Triangle and Powers of 11. Ezine Articles.
Retrieved November 1, 2022, from https://ezinearticles.com/?Pascals-Triangle-and-Powers-of-11&id=7271074
Triangular Numbers Sequence - List and Formula. (n.d.). Byju's. Retrieved November 1, 2022, from
https://byjus.com/maths/triangular-numbers/
Looking for more information? Try these links and videos!
This video is a quick instuctional video for Pascal's Triangle. It touches a little on the history of the triangle, the applications, and what mathematicians are still discovering about it.
This video explains Pascal's triangle in a very simple and precise way. Then, it explains how the triangle can help people understand the Binomial Theorem instead of just memorizing.
This website has multiple levels where you can walk through the different patterns of Pascal's Triangle. You can even earn badges!
The following applet walks through many different patterns found in Pascal's Triangle. It is easy to use and contains a lot of interesting information.
If you are still looking for more things to explore, check out my Assignments tab. It has many applet collections, resources, and links for you to dive into.