Date of Award
6-2019
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Chavez, Joseph
Abstract
Many properties have been found hidden in Pascal's triangle. In this paper, we will present several known properties in Pascal's triangle as well as the properties that lift to different extensions of the triangle, namely Pascal's pyramid and the trinomial triangle. We will tailor our interest towards Fermat numbers and the hockey stick property. We will also show the importance of the hockey stick properties by using them to prove a property in the trinomial triangle.
Recommended Citation
Saucedo, Antonio Jr., "Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle" (2019). Electronic Theses, Projects, and Dissertations. 855.
https://scholarworks.lib.csusb.edu/etd/855
Included in
Discrete Mathematics and Combinatorics Commons, Other Applied Mathematics Commons, Other Mathematics Commons