11 year papers

Sequences and Series JEE Advanced PYQ Chapter Wise

Sequences and Series JEE Advanced PYQs: 15 questions from 22 official papers (2016–2026), by concept with official answers.

Updated2 min read
Full name
Joint Entrance Examination Advanced
Conducted by
IIT (rotating)
Frequency
Once a year
Sections
Paper 1 · Paper 2
Official site
jeeadv.ac.in ↗

Explore: All JEE Advanced chapters · JEE Advanced Mathematics PYQs · JEE Advanced hub · Syllabus & pattern · JEE Advanced 2026

Answer first

Sequences and Series PYQs (previous year questions) for JEE Advanced: Sequences and Series (Mathematics) had 15 questions across the 22 official JEE Advanced papers we tagged (2016–2026), and appeared in 11 of them. Asked in 9 of 11 years; last in 2025. The concepts asked in the most papers: Arithmetic Progression, Summation of Series, Recurrence Relations.

Year-wise question count

Asked in 9 of 11 years, with 2 papers each year.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

ConceptQuestionsPapersYears
Arithmetic Progression552025, 2022, 2019, 2018, 2017
Recurrence Relations222019, 2017
Summation of Series222023, 2020
Geometric Progression212021
AM-GM Inequality112020
AP and GP112020
Arithmetic and Geometric Progression112016
Sequences and Series112022

How to practise Sequences and Series PYQs

  1. Start with the concepts at the top of the table. They have come back the most.
  2. Solve one year’s Sequences and Series questions from the official PDF against the clock, then check the answer listed below.
  3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
  4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary and the official answer, with a link to the official PDF.

JEE Advanced2025

  • Q.12 (Paper 1) · Numerical · Arithmetic Progression: Value from an exponential functional equation evaluated on an AP (official answer: 96) PDF

JEE Advanced2023

  • Q.10 (Paper 1) · Integer · Summation of Series: Find m+n from a sum of numbers of the form 75...57 (official answer: 1219) PDF

JEE Advanced2022

  • Q.6 (Paper 1) · Numerical · Arithmetic Progression: Difference of areas of rectangles whose sides come from two APs (official answer: 18900) PDF
  • Q.10 (Paper 1) · MSQ · Sequences and Series: Terms and sums of a sequence whose successive differences form an AP (official answer: B, C) PDF

JEE Advanced2021

  • Q.13 (Paper 2) · MCQ · Geometric Progression: Counting GP-based circles inside a disc and non-intersecting ones PDF
  • Q.14 (Paper 2) · MCQ · Geometric Progression: Number of diagonally placed GP circles inside a disc PDF

JEE Advanced2020

  • Q.13 (Paper 1) · Numerical · AM-GM Inequality: Log expression combining min and max values under constraints PDF
  • Q.14 (Paper 1) · Numerical · AP and GP: Count of first terms where sums of an AP and GP satisfy a relation PDF
  • Q.16 (Paper 2) · Numerical · Summation of Series: Sum of f(k/40) using f(x)+f(1-x) symmetry PDF

JEE Advanced2019

  • Q.5 (Paper 1) · MSQ · Recurrence Relations: Sums involving powers of roots of x^2 - x - 1 (official answer: A, B, C) PDF
  • Q.14 (Paper 1) · Numerical · Arithmetic Progression: Intersection of three arithmetic progressions (official answer: 157) PDF

JEE Advanced2018

  • Q.9 (Paper 1) · Numerical · Arithmetic Progression: Size of union of two arithmetic progressions PDF

JEE Advanced2017

  • Q.48 (Paper 1) · Integer · Arithmetic Progression: Smallest side of a right triangle with sides in AP and area 24 (official answer: 6) PDF
  • Q.53 (Paper 2) · Paragraph MCQ · Recurrence Relations: Express a term of a root-power sequence via earlier terms (official answer: B) PDF

JEE Advanced2016

  • Q.38 (Paper 2) · MCQ · Arithmetic and Geometric Progression: Compare sums of a GP-like and an AP sequence (official answer: B) PDF

Sequences and Series in other exams

The same chapter in other official papers we tagged: JEE Main (19 questions).

Other Mathematics chapters

FAQ

How many Sequences and Series questions come in JEE Advanced?

In the official papers we tagged: 1 in 2025, 1 in 2023, 2 in 2022, 2 in 2021, 3 in 2020, 2 in 2019, 1 in 2018, 2 in 2017 and 1 in 2016 (2 papers each year). Not asked in the other 2 years. That is 15 questions in all, about 4% of Mathematics.

Which Sequences and Series topics repeat in JEE Advanced?

Asked in the most papers: Arithmetic Progression, Summation of Series, Recurrence Relations. The concept table lists every one with its count.

Are these official JEE Advanced questions?

Yes. Every question is from an official JEE Advanced paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.