Sequences in Maths Last Updated : 23 Jul, 2025 Comments Improve Suggest changes Like Article Like Report In mathematics, a sequence is an ordered list of numbers or objects that follows a specific rule or pattern. Each number in the sequence is called a term, and the position of a term in the sequence is determined by its index.Types of Sequences1. Finite Sequence: A sequence that has a limited number of terms.Example: 1, 3, 5, 7, 9.2. Infinite Sequence: A sequence that continues indefinitely.Example: 1, 2, 3, 4,… Sequences in Mathematics for StudentsThis section covers key types of sequences—arithmetic, geometric, harmonic, and Fibonacci—along with strategies for solving related problems quickly.Introduction to SequencesArithmetic SequenceGeometric SequenceHarmonic SequenceFibonacci SequenceTricks to solve AP, GP, and HP Questions QuicklyFormulas for Basic SequenceThis section provides essential formulas for basic sequences covering nth terms, and sums.Arithmetic SequenceArithmetic Sequence Formulanth term of an Arithmetic SequenceSum of N Terms of an APGeometric SequenceGeometric Sequence FormulaSum of Geometric SeriesSum of Infinite Geometric SeriesHarmonic SequenceMissing number in Harmonic ProgressionFibonacci SequenceFibonacci Sequence FormulaReal-Life ApplicationsThis section explores real-life applications of sequences.Real-life Applications of Arithmetic SequenceReal-life Applications of Geometric SequenceReal-Life Applications of Fibonacci SequencePractice Questions and Quizzes on SequencesThis section offers a variety of practice questions and quizzes on sequences and series.Quiz on ProgressionsPractice Questions on Arithmetic Series and SequencePractice Problems on Geometric SeriesSequence and Series Word ProblemsSequences and Series Practice ProblemsProgression – Aptitude Questions and AnswersSequences for ProgrammersFor programmers, this section covers algorithms for working with arithmetic, geometric, and harmonic sequences, along with finding the nth Fibonacci number.Mathematical Algorithms - Sequence & SeriesArithmetic SequenceGeometric SequenceHarmonic SequenceNth Fibonacci NumberSpecial Number SequenceThis section covers advanced topics in number sequences focusing on their unique patterns and properties.Triangular Number SequenceSquare Number SequenceHexagonal NumbersTetrahedral Number Comment More infoAdvertise with us Next Article Company Preparation A abhi0709singh Follow Improve Article Tags : Mathematics School Learning Maths Maths-Formulas Similar Reads Interview PreparationInterview Preparation For Software DevelopersMust Coding Questions - Company-wise Must Do Coding Questions - Topic-wiseCompany-wise Practice ProblemsCompany PreparationCompetitive ProgrammingSoftware Design-PatternsCompany-wise Interview ExperienceExperienced - Interview ExperiencesInternship - Interview ExperiencesPractice @GeeksforgeeksProblem of the DayTopic-wise PracticeDifficulty Level - SchoolDifficulty Level - BasicDifficulty Level - EasyDifficulty Level - MediumDifficulty Level - HardLeaderboard !!Explore More...Data StructuresArraysLinked ListStackQueueBinary TreeBinary Search TreeHeapHashingGraphAdvance Data StructuresMatrixStringAll Data StructuresAlgorithmsAnalysis of AlgorithmsSearching AlgorithmsSorting AlgorithmsPattern SearchingGeometric AlgorithmsMathematical AlgorithmsRandomized AlgorithmsGreedy AlgorithmsDynamic ProgrammingDivide & ConquerBacktrackingBranch & BoundAll AlgorithmsProgramming LanguagesCC++JavaPythonC#Go LangSQLPHPScalaPerlKotlinWeb TechnologiesHTMLCSSJavaScriptBootstrapTailwind CSSAngularJSReactJSjQueryNodeJSPHPWeb DesignWeb BrowserFile FormatsComputer Science SubjectsOperating SystemsDBMSComputer NetworkComputer Organization & ArchitectureTOCCompiler DesignDigital Elec. & Logic DesignSoftware EngineeringEngineering MathematicsData Science & MLComplete Data Science CourseData Science TutorialMachine Learning TutorialDeep Learning TutorialNLP TutorialMachine Learning ProjectsData Analysis TutorialTutorial LibraryPython TutorialDjango TutorialPandas TutorialKivy TutorialTkinter TutorialOpenCV TutorialSelenium TutorialGATE CSGATE CS NotesGate CornerPrevious Year GATE PapersLast Minute Notes (LMNs)Important Topic For GATE CSGATE CoursePrevious Year Paper: CS exams Like