Sequences in Maths Last Updated : 07 Apr, 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 Fibonacci Sequence A abhi0709singh Follow Improve Article Tags : Mathematics School Learning Maths Maths-Formulas Similar Reads Fibonacci Sequence The Fibonacci Sequence is a series of numbers starting with 0 and 1, where each succeeding number is the sum of the two preceding numbers. The sequence goes on infinitely. So, the sequence begins as:0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …Fibonacci SequenceHistory of the Fibonacci SequenceThe Fibo 7 min read Fibonacci Sequence The Fibonacci Sequence is a series of numbers starting with 0 and 1, where each succeeding number is the sum of the two preceding numbers. The sequence goes on infinitely. So, the sequence begins as:0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …Fibonacci SequenceHistory of the Fibonacci SequenceThe Fibo 7 min read Arithmetic Sequence An arithmetic sequence or progression is defined as a sequence of numbers in which the difference between one term and the next term remains constant.For example: the given below sequence has a common difference of 1.1 2 3 4 5 . . . n ⇑ ⇑ ⇑ ⇑ ⇑ . . . 1st 2nd 3rd 4th 5th . . . nth TermsThe Arithmetic 8 min read Pattern in Maths A pattern is a sequence or design that repeats according to a rule. It can be anything that follows a particular arrangement or order. Patterns can help us make predictions and solve problems more efficiently. In this article, we are going to learn about the different patterns in math, including the 9 min read Sequences and Series Formulas Sequences and Series Formulas: In mathematics, sequence and series are the fundamental concepts of arithmetic. A sequence is also referred to as a progression, which is defined as a successive arrangement of numbers in an order according to some specific rules. A series is formed by adding the eleme 10 min read Sequences and Series Formulas Sequences and Series Formulas: In mathematics, sequence and series are the fundamental concepts of arithmetic. A sequence is also referred to as a progression, which is defined as a successive arrangement of numbers in an order according to some specific rules. A series is formed by adding the eleme 10 min read Like