## Generating functions, the Fibonacci numbers, and the Golden Ratio |

**Professor Kathryn Lesh**

Union College

September 15, 2014

5:00 pm

Bailey Hall 207

Refreshments will be served in Bailey Hall 204 @ 4:45pm

The Fibonacci numbers are given bu the sequence 1, 1, 2, 3, 5, 8, 13, ..., where each number is obtained by adding the two numbers before it. The Golden Mean is the number $\frac{1+\sqrt{5}}{2}$, and has a long and illustrious history in mathematics, art, and architecture, among other fields. We'll use generating functions to derive a connection between the Fibonacci numbers and the Golden Mean, and look at some interesting consequences.

For additional information, send e-mail to math@union.edu or call (518) 388-6246.

Union College Math Department Home PageComments to: math@union.edu Created automatically on: Fri Jul 20 16:30:54 EDT 2018 |