Title

Mathematical Inequalities Involving Fibonacci Numbers

School Name

Governor's School for Science and Mathematics

Grade Level

12th Grade

Presentation Topic

Mathematics

Presentation Type

Mentored

Abstract

Various Fibonacci proofs, identities, ​and inequalities were proved by different means such as graphical analysis using calculus, Arithmetic Mean - Geometric Mean inequality (AM-GM), Jensen’s inequality, and mathematical induction. This was done as a means to assist in the understanding of patterns and sequences and how they establish bounds on values of convergent sequences.

Location

Neville 206

Start Date

4-14-2018 11:30 AM

Presentation Format

Oral and Written

COinS
 
Apr 14th, 11:30 AM

Mathematical Inequalities Involving Fibonacci Numbers

Neville 206

Various Fibonacci proofs, identities, ​and inequalities were proved by different means such as graphical analysis using calculus, Arithmetic Mean - Geometric Mean inequality (AM-GM), Jensen’s inequality, and mathematical induction. This was done as a means to assist in the understanding of patterns and sequences and how they establish bounds on values of convergent sequences.