Arithmetic sequence — AMC & AIME Problems

Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Arithmetic sequence — 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 problems are used with official legal permission of the Mathematical Association of America (MAA).

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AMC 12

1952 AMC 12 Problem 30 1955 AMC 12 Problem 45 1957 AMC 12 Problem 35 1957 AMC 12 Problem 39 1958 AMC 12 Problem 14 1958 AMC 12 Problem 37 1959 AMC 12 Problem 18 1959 AMC 12 Problem 33 1959 AMC 12 Problem 39 1960 AMC 12 Problem 19 1960 AMC 12 Problem 36 1961 AMC 12 Problem 24 1961 AMC 12 Problem 26 1962 AMC 12 Problem 3 1962 AMC 12 Problem 20 1962 AMC 12 Problem 32 1963 AMC 12 Problem 16 1963 AMC 12 Problem 20 1964 AMC 12 Problem 28 1965 AMC 12 Problem 20 1966 AMC 12 Problem 18 1966 AMC 12 Problem 19 1966 AMC 12 Problem 25 1967 AMC 12 Problem 9 1967 AMC 12 Problem 35 1967 AMC 12 Problem 39 1968 AMC 12 Problem 20 1968 AMC 12 Problem 26 1969 AMC 12 Problem 9 1969 AMC 12 Problem 33 1971 AMC 12 Problem 24 1972 AMC 12 Problem 16 1973 AMC 12 Problem 7 1973 AMC 12 Problem 21 1973 AMC 12 Problem 26 1973 AMC 12 Problem 28 1974 AMC 12 Problem 29 1975 AMC 12 Problem 6 1975 AMC 12 Problem 9 1976 AMC 12 Problem 14 1978 AMC 12 Problem 8 1979 AMC 12 Problem 16 1980 AMC 12 Problem 11 1981 AMC 12 Problem 11 1982 AMC 12 Problem 8 1982 AMC 12 Problem 28 1984 AMC 12 Problem 12 1985 AMC 12 Problem 9 1987 AMC 12 Problem 9 1987 AMC 12 Problem 13 1990 AMC 12 Problem 3 1990 AMC 12 Problem 13 1991 AMC 12 Problem 12 1993 AMC 12 Problem 21 2002 AMC 12B Problem 5 2002 AMC 12B Problem 9 2002 AMC 12B Problem 13 2004 AMC 12A Problem 10 2004 AMC 12A Problem 14 2004 AMC 12B Problem 12 2005 AMC 12A Problem 13 2006 AMC 12A Problem 8 2006 AMC 12A Problem 12 2007 AMC 12A Problem 7 2007 AMC 12A Problem 16 2008 AMC 12A Problem 16 2008 AMC 12B Problem 2 2009 AMC 12A Problem 7 2009 AMC 12A Problem 11 2010 AMC 12A Problem 2 2010 AMC 12A Problem 10 2010 AMC 12A Problem 20 2010 AMC 12B Problem 19 2012 AMC 12A Problem 7 2013 AMC 12A Problem 12 2013 AMC 12A Problem 14 2013 AMC 12B Problem 13 2014 AMC 12A Problem 9 2014 AMC 12A Problem 14 2016 AMC 12B Problem 16 2018 AMC 12B Problem 9 2019 AMC 12A Problem 4 2019 AMC 12A Problem 9 2020 AMC 12A Problem 5 2021 AMC 12B Spring Problem 10 2021 AMC 12B Spring Problem 23 2021 AMC 12A Fall Problem 24 2022 AMC 12A Problem 5 2022 AMC 12B Problem 9 2023 AMC 12B Problem 17 2024 AMC 12A Problem 14 2024 AMC 12B Problem 5 2025 AMC 12B Problem 14

More algebra concepts

absolute valueagesalgebraic manipulationAM-GM Inequalityarithmetico-geometric seriesbinomial theoremcalculusCauchy-Schwarz Inequalitycompleting the squarecomplex numbercustom operationDe Moivre’s Theoremdeterminantdifference of squaresfactoringFibonaccifloor 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 Formulaszero product property