On the Fibonacci Numbers
| dc.contributor.advisor | Getu, Seyoum (PhD) | |
| dc.contributor.author | Mekonnen, Tigist | |
| dc.date.accessioned | 2018-07-19T06:34:25Z | |
| dc.date.accessioned | 2023-11-04T12:30:35Z | |
| dc.date.available | 2018-07-19T06:34:25Z | |
| dc.date.available | 2023-11-04T12:30:35Z | |
| dc.date.issued | 2013-02 | |
| dc.description.abstract | In this paper a brief history of the Fibonacci and related sequences called Lucas num- bers will be given. Recursion formula for both sequences will also be given. A closed formula for nth - term of Fibonacci and Lucas numbers and the relationship between Fibonacci numbers and golden ratio will be discussed. The remaining sections will be about finding a closed formula for the nth Fibonacci numbers by using matrix form and its generating function. Some identities and particular theorems involving Fibonacci sequences and identities for the common factor of Fibonacci and Lucas numbers will be discussed. The last one will look at the occurrences of Fibonacci and Lucas numbers in Pascals triangle. | en_US |
| dc.identifier.uri | http://etd.aau.edu.et/handle/123456789/9321 | |
| dc.language.iso | en | en_US |
| dc.publisher | Addis Ababa University | en_US |
| dc.subject | On the Fibonacci Numbers | en_US |
| dc.title | On the Fibonacci Numbers | en_US |
| dc.type | Thesis | en_US |