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

AMC 8

1985 AMC 8 Problem 2 · 1986 AMC 8 Problem 25 · 1987 AMC 8 Problem 3 · 1988 AMC 8 Problem 19 · 1991 AMC 8 Problem 4 · 1991 AMC 8 Problem 12 · 1991 AMC 8 Problem 17 · 1993 AMC 8 Problem 19 · 1994 AMC 8 Problem 17 · 1996 AMC 8 Problem 3 · 1996 AMC 8 Problem 4 · 2005 AMC 8 Problem 12 · 2013 AMC 8 Problem 17 · 2015 AMC 8 Problem 9 · 2015 AMC 8 Problem 18 · 2016 AMC 8 Problem 19 · 2017 AMC 8 Problem 23 · 2018 AMC 8 Problem 5 · 2020 AMC 8 Problem 4 · 2022 AMC 8 Problem 6 · 2023 AMC 8 Problem 25 · 2024 AMC 8 Problem 10 · 2025 AMC 8 Problem 4 · 2025 AMC 8 Problem 9 · 2026 AMC 8 Problem 14 · 2026 AMC 8 Problem 18

More algebra concepts

absolute valueagesalgebraic manipulationAM-GM Inequalitybinomial 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 Formulas