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JEE Main Sequences and Series questions with solutions

AP, GP, HP and special series. 9 questions from our 2017–2025 JEE Main pattern papers, from the Class 11 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Sequences and Series for JEE Advanced · Sequences and Series for NDA

JEE Main 2025

The number of common terms of the arithmetic progressions 3,7,11,…,407 and 2,9,16,…,709 isJEE Main 2025 · medium

JEE Main 2024

An arithmetic progression has first term 2 and non-zero common difference, and the ratio S2n/Sn of the sum of its first 2n terms to that of its first…JEE Main 2024 · medium
The sum of the first 20 terms of the series 3+7+13+21+31+… isJEE Main 2024 · medium

JEE Main 2021

The sum of the infinite series 1/3+3/3^2+5/3^3+7/3^4+… isJEE Main 2021 · medium
The sum of an infinite geometric progression is 15 and the sum of the squares of its terms is 45. Then its first term isJEE Main 2021 · hard

JEE Main 2020

The value of Σk=1^10(k)/(k^4+k^2+1) isJEE Main 2020 · hard

JEE Main 2018

The sum (1)/(1·3)+(1)/(3·5)+(1)/(5·7)+… up to 20 terms equalsJEE Main 2018 · medium

JEE Main 2017

The value of (1)/(1·4)+(1)/(4·7)+(1)/(7·10)+…+(1)/(25·28) isJEE Main 2017 · medium
The sum of an infinite geometric series is 6 and its first term is 3. The second term isJEE Main 2017 · easy

Other Mathematics topics

Area Under Curves 7 Binomial Theorem 12 Complex Numbers 10 Conic Sections 5 Differential Equations 9 Differentiation and Application of Derivatives 19 Indefinite and Definite Integrals 16 Limits 9 Matrices and Determinants 19 Permutations and Combinations 10 Probability 9 Quadratic Equations 9 Sets, Relations and Functions 10 Statistics 6 Straight Lines and Circles 9 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8