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 (10[1])of these numbers give the worst run time for Euclid's algorithm. These numbers can be calculated with Binet’s formula, (10[1])which (-5[1])uses a constant equal to the average of one and the square root of five denoted phi. (10[1])The population (10[1])growth of rabbits was (10[1])modeled using these numbers by their (10[1])Italian namesake. For 10 points, name this sequence of numbers defined by adding the previous two (10[2])numbers, (10[2])which starts 1, (-5[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

Back to tossups

Summary

2024 ACF Fall at CornellfallY9100%0%33%68.11
2024 ACF Fall at Ohio StatefallY8100%0%25%80.63
2024 ACF Fall at WashingtonfallY6100%0%0%55.67
2024 ACF Fall at GeorgiafallY11100%0%18%81.27
2024 ACF Fall at North CarolinafallY9100%0%11%69.11
2024 ACF Fall at Claremont CollegesfallY5100%0%0%34.60
2024 ACF Fall at RutgersfallY8100%0%25%62.38

Buzzes

PlayerTeamOpponentBuzz PositionValue
Daniel ChenEmory OxfordEmory A3210
Jeffery XuGeorgia Tech DTennessee A5110
Aaron TaylorMississippi State AGeorgia Tech E52-5
Pranav JohtiGeorgia Tech AFurman6910
Monish JampalaGeorgia Tech BAuburn C7110
Nathan McWilliamsAlabama AVanderbilt A7510
John McqueenSouth Carolina BSouthern8110
John ShieldsClemson BTennessee B9710
Zeke CollinsAuburn BVanderbilt B9710
Aaryan TomarGeorgia Tech CBelmont9810
Allen XuGeorgia Tech EMississippi State A9810
Jackson HopperMissisippi StateGeorgia Tech B101-5
Anna HinkleGeorgia Tech BMissisippi State12510