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Fibonacci — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Fibonacci — a algebra concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.

All of these problems are used with official legal permission of the Mathematical Association of America (MAA).

AMC 10

2000 AMC 10 Problem 6 · 2013 AMC 10B Problem 21 · 2017 AMC 10A Problem 13 · 2024 AMC 10B Problem 23

AMC 12

2000 AMC 12 Problem 4 · 2009 AMC 12B Problem 21 · 2013 AMC 12B Problem 14 · 2024 AMC 12B Problem 18

AIME

1998 AIME Problem 8 · 2001 AIME II Problem 5 · 2002 AIME I Problem 8 · 2023 AIME I Problem 11

More algebra concepts

absolute valueagesalgebraic manipulationAM-GM Inequalityarithmetic sequencebinomial theoremcalculusCauchy-Schwarz Inequalitycompleting the squarecomplex numbercustom operationDe Moivre’s Theoremdeterminantdifference of squaresfactoringfloor and ceiling functionsfunctionfunctional equationgeometric sequenceinequalitylinear equationlogarithmmatrixmixtureNewton’s Sumspartial fractionspolynomialquadraticradicalrational equationrationalizing denominatorrecursionroots of unitySimon’s Favorite Factoring Trickslopesubstitutionsum and difference of cubessum of first n cubessum of first n odd numberssum of first n squaressummationsymmetry (algebra)system of equationstelescopingVieta’s Formulas