Pascal's Triangle and the Binomial Theorem

In this video, we use properties we have learned about binomial coefficients to construct Pascal's Triangle. We also use these properties to prove the Binomial Theorem. This is lecture 18 (part 2/3) of the lecture series offered by Dr. Andrew Misseldine for the course Math 3120 - Transition to Advanced Mathematics at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: https://drive.google.com/file/d/1ZBctRKegfQk76N18q2pXJhyhEIhHyZws/view This lecture is based upon Sections 3.9, 3.10, and 5.3 of Book of Proof (https://www.people.vcu.edu/~rhammack/BookOfProof/) by Richard Hammack, from the corresponding sections of A Transition to Advanced Mathematics (https://math.byu.edu/~doud/Transition/) by Darrin Doud and Pace P. Nielsen, and from Dr. Misseldine's own notes. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.

Видео Pascal's Triangle and the Binomial Theorem автора Веселые опыты и научное развлечение