Question
These numbers can be calculated using Vajda’s and Catalan’s identities. The uniqueness of some divisors of these numbers is implied by Carmichael’s theorem, which also applies to similarly defined Lucas numbers. Consecutive pairs of these numbers give the worst run time for Euclid's algorithm. These numbers can be calculated with Binet’s formula, which uses a constant equal to the average of one and the square root of five denoted phi. The population growth of rabbits was modeled using these numbers by their Italian namesake. For 10 points, name this sequence of numbers defined by adding the previous two numbers, which starts 1, 1, 2, 3, 5. ■END■
ANSWER: Fibonacci numbers [accept Fibonacci sequence; prompt on Lucas numbers or Lucas sequences until “Lucas” is read]
<Other Science>
= Average correct buzz position
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Beckett Gilmore (DII) | Jefferson County Scholars (DII) | Michigan State A | 24 | 10 |
Anthony Yin (DII) | CWRU B (DII) | CWRU C (UG) | 27 | -5 |
Mohamed Musa (DII) | Ohio State C (DII) | Michigan B (UG) | 43 | -5 |
Dennis Yang (DII) | Michigan A (UG) | Michigan D (UG) | 76 | 10 |
Peter Ballas (DII) | Michigan C | CWRU A (UG) | 82 | 10 |
Angelo Pan (UG) | CWRU C (UG) | CWRU B (DII) | 84 | 10 |
Peter Zeng (DII) | Ohio State B (DII) | Michigan State B | 86 | 10 |
Jacob Moeller (DII) | Miami A (UG) | West Virginia B (UG) | 92 | 10 |
Venkat Das (DII) | West Virginia A (UG) | Miami C (DII) | 96 | 10 |
Stephen Barstys (UG) | Michigan B (UG) | Ohio State C (DII) | 105 | 10 |
Summary
2024 ACF Fall at Cornell | fall | Y | 9 | 100% | 0% | 33% | 68.11 |
2024 ACF Fall at Ohio State | fall | Y | 8 | 100% | 0% | 25% | 80.63 |
2024 ACF Fall at Washington | fall | Y | 6 | 100% | 0% | 0% | 55.67 |
2024 ACF Fall at Georgia | fall | Y | 11 | 100% | 0% | 18% | 81.27 |
2024 ACF Fall at North Carolina | fall | Y | 9 | 100% | 0% | 11% | 69.11 |
2024 ACF Fall at Claremont Colleges | fall | Y | 5 | 100% | 0% | 0% | 34.60 |
2024 ACF Fall at Rutgers | fall | Y | 8 | 100% | 0% | 25% | 62.38 |