Proofs of Two Fibonacci Identities
School Name
Fort Dorchester High School
Grade Level
12th Grade
Presentation Topic
Mathematics
Presentation Type
Mentored
Oral Presentation Award
3rd Place
Abstract
Fibonacci numbers are a recursive sequence that were originally used to model the breeding of rabbits under ideal circumstances. Fibonacci numbers are also connected to other topics of number theory like: binomial coefficients and Pascal's triangle. We present solutions for two open problems from The Fibonacci Quarterly. Using known identities and knowledge of Fibonacci, we solved problems B-1301 and B-1305.
Recommended Citation
Torek, Eli; Rhett Smith, Virginia; and Milligan, Lavender, "Proofs of Two Fibonacci Identities" (2023). South Carolina Junior Academy of Science. 92.
https://scholarexchange.furman.edu/scjas/2023/all/92
Start Date
3-25-2023 11:00 PM
Presentation Format
Written Only
Group Project
Yes
Proofs of Two Fibonacci Identities
Fibonacci numbers are a recursive sequence that were originally used to model the breeding of rabbits under ideal circumstances. Fibonacci numbers are also connected to other topics of number theory like: binomial coefficients and Pascal's triangle. We present solutions for two open problems from The Fibonacci Quarterly. Using known identities and knowledge of Fibonacci, we solved problems B-1301 and B-1305.
