View Proposal #48
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| ID | 48 |
|---|---|
| First Name | Christopher |
| Last Name | French |
| Institution | Grinnell College |
| Speaker Category | faculty |
| Title of Talk | Fifth roots of Fibonacci Fractions |
| Abstract | The quotients of consecutive Fibonacci numbers converge to the golden ratio. In fact, the continued fraction expansion for such ratios consists of the nth truncation of the continued fraction expansion for the golden ratio. In a similar way, if F_n denotes the nth Fibonacci number, then the kth root of F_{n+k}/F_n converges to the golden ratio, and one can investigate the continued fraction expansion for these roots. Something rather remarkable happens when k=5. |
| Subject area(s) | Number Theory |
| Suitable for undergraduates? | Yes |
| Day Preference | |
| Computer Needed? | N |
| Bringing a laptop? | N |
| Overhead Needed? | Y |
| Software requests | |
| Special Needs | |
| Date Submitted | 3/3/2004 |
| Year | 2004 |