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Sequences and Series PYQs (previous year questions) for JEE Main: Sequences and Series (Mathematics) had 19 questions across the 11 official JEE Main papers we tagged (2016–2026), and appeared in 11 of them. Asked in 3 of 3 years. The concepts asked in the most papers: Sum of Series, AP and GP, Arithmetic Progression.
Year-wise question count
Asked in 3 of 3 years.
| Year | Papers | Questions | Per paper |
|---|---|---|---|
| JEE Main 2026 | 9 | 15 | 1.7 |
| JEE Main 2017 | 1 | 2 | 2 |
| JEE Main 2016 | 1 | 2 | 2 |
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| Sum of Series | 5 | 5 | 2026 |
| AP and GP | 4 | 4 | 2026, 2017, 2016 |
| Arithmetic Progression | 3 | 3 | 2026 |
| Series Summation | 2 | 2 | 2017, 2016 |
| Telescoping Series | 2 | 2 | 2026 |
| Arithmetic Means | 1 | 1 | 2026 |
| Geometric Progression | 1 | 1 | 2026 |
| Infinite GP | 1 | 1 | 2026 |
How to practise Sequences and Series PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Sequences and Series questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- 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 Main2026
- Q.5 (2 April, shift 1) · MCQ · Arithmetic Progression: Count common terms of two APs that are divisible by 3 (official answer: option 2) PDF
- Q.22 (2 April, shift 1) · Numerical · Sum of Series: Given partial sums 6n^3, evaluate a sum of squared term differences (official answer: 91) PDF
- Q.4 (2 April, shift 2) · MCQ · AP and GP: AP and increasing GP with linked terms; find a10 + g5 (official answer: option 4) PDF
- Q.5 (2 April, shift 2) · MCQ · Sum of Series: Sum to 8 terms of sums of cubes divided by sums of odd numbers (official answer: option 2) PDF
- Q.7 (4 April, shift 1) · MCQ · Arithmetic Progression: AP of 30 terms whose sum equals the cube of its last term; find d (official answer: option 1) PDF
- Q.7 (4 April, shift 2) · MCQ · Infinite GP: Sum two infinite GPs and evaluate an expression with logarithms (official answer: option 3) PDF
- Q.2 (5 April, shift 1) · MCQ · Arithmetic Progression: AP with Sₙ=3n²+5n; sum of squares of its first 10 terms (official answer: option 3) PDF
- Q.5 (5 April, shift 1) · MCQ · Telescoping Series: Sum of 528/(n(n+1)(n+2)) for n=1 to 10 (official answer: option 2) PDF
- Q.5 (5 April, shift 2) · MCQ · Telescoping Series: Sum of first 10 terms of n/(1+4n⁴) as m/n; find m+n (official answer: option 3) PDF
- Q.6 (5 April, shift 2) · MCQ · Arithmetic Means: Mean of selected arithmetic means inserted between 59 and 159 (official answer: option 4) PDF
- Q.5 (6 April, shift 1) · MCQ · Sum of Series: Evaluate alternating sum of cubes 1^3 - 2^3 + ... + 15^3 (official answer: option 2) PDF
- Q.6 (6 April, shift 1) · MCQ · AP and GP: Linked AP and GP conditions; sum of possible first terms of the GP (official answer: option 1) PDF
- Q.24 (6 April, shift 1) · Numerical · Geometric Progression: Min/max of trig functions give a GP; sum of first 10 terms as m/n (official answer: 1279) PDF
- Q.6 (6 April, shift 2) · MCQ · Sum of Series: Sum to 10 terms of series with averaged sums of squares (official answer: option 3) PDF
- Q.5 (8 April, shift 2) · MCQ · Sum of Series: Sum of interleaved series fixes alpha; evaluate a trig expression (official answer: option 1) PDF
JEE Main2017
JEE Main2016
Sequences and Series in other exams
The same chapter in other official papers we tagged: JEE Advanced (15 questions).
Other Mathematics chapters
- Sets, Relations and Functions PYQs
- Complex Numbers and Quadratic Equations PYQs
- Matrices and Determinants PYQs
- Permutations and Combinations PYQs
- Binomial Theorem PYQs
- Limits, Continuity and Differentiability PYQs
- Integral Calculus PYQs
- Differential Equations PYQs
- Coordinate Geometry PYQs
- Three-Dimensional Geometry PYQs
- Vector Algebra PYQs
- Statistics and Probability PYQs
- Trigonometry PYQs
FAQ
How many Sequences and Series questions come in JEE Main?
In the official papers we tagged: 15 in 2026 (9 papers), 2 in 2017 (1 paper) and 2 in 2016 (1 paper). That is 19 questions in all, about 7% of Mathematics.
Which Sequences and Series topics repeat in JEE Main?
Asked in the most papers: Sum of Series, AP and GP, Arithmetic Progression. The concept table lists every one with its count.
Are these official JEE Main questions?
Yes. Every question is from an official JEE Main paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.