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Sunday, 25 October

JEE Main · Maths · Class 11

Sequences and Series: JEE Main previous year questions

177 questions in 104 of the 108 JEE Main shifts Lumi analysed, asked in 8 of 8 years. Here is what this chapter tests and how.

Study this chapter
Questions
177
in 104 of 108 shifts · 8 of 8 years
Average a shift
1.5
of 25 Maths · 1.6 since 2024 0.1
Typical range
1.4–1.8
questions a shift; fewest 1.1, most 1.8
Weighted estimate
1.6
model, recent years count more · about 6.3 marks
  • Typical range (fact)
  • Average a shift (fact)
  • Weighted estimate (model)

Questions are counted per shift, out of the 25 each subject has, in the shifts Lumi analysed; papers that offered 30 a subject (2017, 2021–2024) are scaled to 25. Typical range: the middle six of the eight years (2017, 2020–2026), leaving out the single highest and lowest year. The average and the range are historical fact. The weighted estimate is a model: each year's share, with recent years counting more (half-life three years), and chapters NTA dropped from the syllabus set near zero. It is a guide to effort, not a forecast of the paper.

What to do

How to spend time on Sequences and Series

Priority

Must do

One of the 8 Maths chapters that together held the first half of Maths questions in the 108 shifts analysed. How bands are set

Past questions
177in 104 of 108 shifts
Study plan gives it
27 hover 12 months; 20 h over 6
Study this chapter →

Ideas asked most often

  1. AP Sum of n terms31×
  2. Method of Differences for Telescoping Series19×
  3. Infinite GP Sum15×
  4. GP General Term15×
  5. GP Sum of n terms10×

71 of the 112 ideas in Lumi’s map of this chapter have not been asked or touched in the shifts analysed. Of its idea-tagged questions from 2024 on, 4% tested an idea not asked in an earlier year, so learn the whole chapter, not just the list above.

Within each subject, chapters in NTA's 2026 syllabus are ranked by their average questions a shift over all 8 years analysed (history, not the model). Going down that list, the chapters that together held the first half of the subject's questions are Must do; the next ones, up to 80%, are Should do; the rest are Lower priority.

Key findings

Sequences and Series at a glance

  1. 01

    96%

    of its 51 questions from 2024 on that Lumi matched to an idea tested one JEE Main had asked in an earlier year; 100% came from a topic asked in an earlier year.

  2. 02

    63%

    of the 112 ideas in Lumi's map of the chapter have not been asked or touched on in the shifts analysed.

  3. 03

    35%

    of its questions asked for a numerical answer, 1.1 times the Maths average.

  4. 04

    20%

    of its questions were rated hard, against 26% across all Maths questions in the same shifts.

Questions a shift, year by year

Out of the 25 Maths questions in a shift. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift.

0241.7’171.8’201.1’211.5’221.4’231.5’241.5’251.8’26

Raw count: 2017: 2 in 1 shift · 2020: 21 in 12 shifts · 2021: 32 in 24 shifts · 2022: 42 in 24 shifts · 2023: 20 in 12 shifts · 2024: 32 in 18 shifts · 2025: 12 in 8 shifts · 2026: 16 in 9 shifts.

Kind of question

SHARE OF QUESTIONS
  • Multi-step42%
  • Numerical answer35%
  • Calculation20%
  • Application3%

Most common asks: sum of series with summation general term (17); combined ap and gp conditions (16); sum of telescoping series (5).

Profile

This chapter in numbers

Where it ranks, how steady it is, and what it costs to study.

Rank, all JEE chapters
#7
of 70 by weighted estimate
Rank in Maths
#5
of 21 chapters
Share of Maths
6.1%
of its questions, all shifts analysed
Busiest year
2020
1.8 questions a shift
Year to year
Steady
varies by about 0.2 questions a shift
Long-run direction
-0.01
questions a shift, per year
Easy questions
11%
20% rated hard
Numerical answer
35%
1.1× the Maths rate
With a figure
2%
graph, diagram or structure
Study time
27 h
20 h on a 6-month plan
Marks per study hour
0.24
#34 of 70 chapters
Foundation for others
71%
of its ideas are used in other chapters

Difficulty, year by year

Each question rated easy, medium or hard. Each bar is that year’s split, so years compare directly; the number is the questions in that year’s analysed shifts (1 to 24 shifts a year).

  • 20172
  • 202021
  • 202132
  • 202242
  • 202320
  • 202432
  • 202512
  • 202616
  • Easy
  • Medium
  • Hard

What it asks you to do

SHARE OF QUESTIONS
  • Multi-step64%
  • Calculation32%
  • Application4%
  • Data or graph1%

Coverage

How much of the chapter JEE Main has used

We split the chapter into 112 ideas. In the 108 shifts analysed, JEE Main built a question around 32 of them. Most of the chapter has never been the main idea of a question, so past questions alone leave most of it out.

Asked as the main idea
32
Touched on in a question
9
Never asked
71

Topics

What repeats, topic by topic

This chapter's questions per topic in each year's analysed shifts. The number is the count; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. 27 questions had no close topic in Lumi's map and count for the chapter only.

’17’20’21’22’23’24’25’26
028+questions in that year’s analysed shifts, shaded per shift
  • AP and GP

    As a topic: 136 questions in 8 of 8 years, most often single correct, 32% numerical answer. Recent asks: sum of series then solve for angle; combined AP and GP parameter problem; numerical: GP sum from trig extrema.

  • Arithmetico-Geometric Series

    As a topic: 22 questions in 6 of 8 years, most often single correct, 50% numerical answer.

  • Functions and Domain

    As a topic: 36 questions in 7 of 8 years, most often single correct, 19% numerical answer.

  • Quadratic Roots

    As a topic: 104 questions in 8 of 8 years, most often single correct, 33% numerical answer. Recent asks: quadratic root ratio then conic latus rectum; value from roots of linked quadratics; numerical: sum of powers of quadratic roots.

Drill down

Topic, idea, question

Open a topic to see every idea JEE Main tested inside it, then open an idea to read the questions. Each row shows its 8 years.

  • Open130 · 73%18212814261012

    23 ideas inside

    • OpenRepeated31 · 24%5543824
    • OpenRepeated17 · 13%24442
    • OpenRepeated15 · 12%6242
    • OpenRepeated14 · 11%3342
    • OpenRepeated8 · 6%24
    • OpenRepeated7 · 5%222
    • OpenRepeated7 · 5%3
    • OpenRepeated6 · 5%2
    • OpenRepeated4 · 3%
    • OpenRepeated3 · 2%
    • OpenRepeated2 · 2%
    • OpenRepeated2 · 2%
    • OpenRepeated2 · 2%
    • OpenRepeated2 · 2%
    • OpenRepeated2 · 2%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
  • Open17 · 10%4732
  • Open1 · 1%
  • Open1 · 1%
  • Open1 · 1%

Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.

Ideas

The exact ideas JEE Main has asked

Inside the topics, 31 different ideas were tested; 21 came more than once. These are the repeats, then the ideas new since 2024.

Dots are the 8 years with analysed shifts, 2017 to 2026.

Every question

All 177 Sequences and Series questions

Newest first, shift by shift. The newest 40 show their opening words; older ones name the idea they tested. Each opens with its options and the official answer.

JEE Main 202616 questions

  1. 2 Apr 2026, Shift 1 · Q5Let AA be the set of first 101101 terms of an A.P., whose first term is 11 and the common difference is 55 and let BB be the set of…MediumSingle correct
  2. 2 Apr 2026, Shift 1 · Q22If ∑k=1nak=6n3\sum_{k=1}^{n}a_k=6n^3, then ∑k=16(ak+1−ak36)2\sum_{k=1}^{6}\left(\frac{a_{k+1}-a_k}{36}\right)^2 is equal to __________.MediumNumerical value
  3. 2 Apr 2026, Shift 2 · Q4Let a1,a2,a3,…a_1, a_2, a_3, \ldots be an A.P. and g1,g2,g3,…g_1, g_2, g_3, \ldots be an increasing G.P. If a1=a2+g2=1a_1 = a_2 + g_2 = 1 and a3+g3=4a_3 + g_3 = 4,…MediumSingle correct
  4. 2 Apr 2026, Shift 2 · Q5The sum 131+13+231+3+13+23+331+3+5+…\frac{1^3}{1} + \frac{1^3 + 2^3}{1 + 3} + \frac{1^3 + 2^3 + 3^3}{1 + 3 + 5} + \ldots up to 8 terms, is:MediumSingle correct
  5. 4 Apr 2026, Shift 1 · Q7The first term of an A.P. of 3030 non-negative terms is 103\frac{10}{3}. If the sum of this A.P. is the cube of its last term, then its…MediumSingle correct
  6. 4 Apr 2026, Shift 2 · Q7Let α=14+18+116+…∞\alpha=\frac14+\frac18+\frac1{16}+\ldots\infty and β=13+19+127+…∞\beta=\frac13+\frac19+\frac1{27}+\ldots\infty. Then the value of…EasySingle correct
  7. 5 Apr 2026, Shift 1 · Q2Let the sum of the first nn terms of an A.P. be 3n2+5n3n^2 + 5n. Then the sum of squares of the first 10 terms of the A.P. is:EasySingle correct
  8. 5 Apr 2026, Shift 1 · Q5∑n=110(528n(n+1)(n+2))\sum_{n=1}^{10}\left(\frac{528}{n(n+1)(n+2)}\right) is equal to:EasySingle correct
  9. 5 Apr 2026, Shift 2 · Q5If the sum of the first 10 terms of the series…HardSingle correct
  10. 5 Apr 2026, Shift 2 · Q6Let A1,A2,A3,……,A39A_1, A_2, A_3, \dots\dots, A_{39} be 39 arithmetic means between the numbers 59 and 159. Then the mean of A25,A28,A31A_{25}, A_{28}, A_{31}…EasySingle correct
  11. 6 Apr 2026, Shift 1 · Q5The value of 13−23+33−…+1531^3-2^3+3^3-\ldots+15^3 is:MediumSingle correct
  12. 6 Apr 2026, Shift 1 · Q6The sum of the first ten terms of an A.P. is 160 and the sum of the first two terms of a G.P. is 8. If the first term of the A.P. is equal…MediumSingle correct
  13. 6 Apr 2026, Shift 1 · Q24For the functions f(θ)=αtan⁡2θ+βcot⁡2θf(\theta)=\alpha\tan^2\theta+\beta\cot^2\theta, and g(θ)=αsin⁡2θ+βcos⁡2θg(\theta)=\alpha\sin^2\theta+\beta\cos^2\theta,…HardNumerical value
  14. 6 Apr 2026, Shift 2 · Q6The sum 1+12(12+22)+13(12+22+32)+…1+\frac{1}{2}\left(1^2+2^2\right)+\frac{1}{3}\left(1^2+2^2+3^2\right)+\ldots upto 10 terms is equal to :MediumSingle correct
  15. 8 Apr 2026, Shift 2 · Q5Let α=3+4+8+9+13+14+…\alpha = 3 + 4 + 8 + 9 + 13 + 14 + \ldots up to 40 terms. If (tan⁡β)α1020(\tan\beta)^{\frac{\alpha}{1020}} is a root of the equation…MediumSingle correct
  16. 8 Apr 2026, Shift 2 · Q25Let ff be a polynomial function such that…HardNumerical value

JEE Main 202512 questions

  1. 2 Apr 2025, Shift 1 · Q19Let a1,a2,a3,…a_1, a_2, a_3,\ldots be in an A.P. such that ∑k=112a2k−1=−725a1\sum_{k=1}^{12}a_{2k-1}=-\frac{72}{5}a_1, a1≠0a_1\neq0. If ∑k=1nak=0\sum_{k=1}^{n}a_k=0, then…MediumSingle correct
  2. 2 Apr 2025, Shift 2 · Q5The number of terms of an A.P. is even; the sum of all the odd terms is 24, the sum of all the even terms is 30 and the last term exceeds…MediumSingle correct
  3. 2 Apr 2025, Shift 2 · Q22If the sum of the first 10 terms of the series…HardNumerical value
  4. 3 Apr 2025, Shift 1 · Q6Let a1,a2,a3,…a_1, a_2, a_3, \ldots be a G.P. of increasing positive numbers. If a3a5=729a_3 a_5 = 729 and a2+a4=1114a_2 + a_4 = \frac{111}{4}, then…EasySingle correct
  5. 3 Apr 2025, Shift 1 · Q7The sum 1+3+11+25+45+71+…1 + 3 + 11 + 25 + 45 + 71 + \ldots upto 20 terms, is equal toMediumSingle correct
  6. 3 Apr 2025, Shift 2 · Q6The sum 1+1+32!+1+3+53!+1+3+5+74!+…1 + \frac{1+3}{2!} + \frac{1+3+5}{3!} + \frac{1+3+5+7}{4!} + \ldots upto ∞\infty terms, is equal toMediumSingle correct
  7. 4 Apr 2025, Shift 2 · Q5If the sum of the first 20 terms of the series…MediumSingle correct
  8. 4 Apr 2025, Shift 2 · Q6Consider two sets A and B, each containing three numbers in A.P. Let the sum and the product of the elements of A be 36 and p respectively…MediumSingle correct
  9. 7 Apr 2025, Shift 1 · Q6Let x1,x2,x3,x4x_1, x_2, x_3, x_4 be in a geometric progression. If 2,7,9,52, 7, 9, 5 are subtracted respectively from x1,x2,x3,x4x_1, x_2, x_3, x_4, then the…MediumSingle correct
  10. 7 Apr 2025, Shift 2 · Q6Let ana_n be the nthn^{\mathrm{th}} term of an A.P. If Sn=a1+a2+a3+…+an=700S_n=a_1+a_2+a_3+\ldots+a_n=700, a6=7a_6=7 and S7=7S_7=7, then ana_n is equal to :MediumSingle correct
  11. 7 Apr 2025, Shift 2 · Q7If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth terms is…MediumSingle correct
  12. 8 Apr 2025, Shift 2 · Q6If 114+124+134+…∞=π490\frac{1}{1^4} + \frac{1}{2^4} + \frac{1}{3^4} + \ldots \infty = \frac{\pi^4}{90},…EasySingle correct

JEE Main 202432 questions

  1. 4 Apr 2024, Shift 1 · Q9Let the first three terms 22, pp and qq, with q≠2q \neq 2, of a G.P. be respectively the 7th7^{th}, 8th8^{th} and 13th13^{th} terms of an…MediumSingle correct
  2. 4 Apr 2024, Shift 2 · Q5The value of 1×22+2×32+…+100×(101)212×2+22×3+…+1002×101\frac{1\times 2^2+2\times 3^2+\ldots+100\times(101)^2}{1^2\times 2+2^2\times 3+\ldots+100^2\times 101} isHardSingle correct
  3. 4 Apr 2024, Shift 2 · Q6Let three real numbers a,b,ca, b, c be in arithmetic progression and a+1,b,c+3a+1, b, c+3 be in geometric progression. If a>10a>10 and the arithmetic…MediumSingle correct
  4. 5 Apr 2024, Shift 1 · Q6If 11+2+12+3+…+199+100=m\frac{1}{\sqrt1+\sqrt2}+\frac{1}{\sqrt2+\sqrt3}+\ldots+\frac{1}{\sqrt{99}+\sqrt{100}}=m and…EasySingle correct
  5. 5 Apr 2024, Shift 1 · Q25Let a1,a2,a3,…a_1, a_2, a_3, \ldots be in an arithmetic progression of positive terms. Let…HardNumerical value
  6. 5 Apr 2024, Shift 2 · Q8For x≥0x \geq 0, the least value of KK, for which 41+x+41−x4^{1+x}+4^{1-x}, K2\frac{K}{2}, 16x+16−x16^x+16^{-x} are three consecutive terms of an A.P.,…MediumSingle correct
  7. 5 Apr 2024, Shift 2 · Q22If…HardNumerical value
  8. 6 Apr 2024, Shift 1 · Q24Let the first term of a series be T1=6T_1=6 and its rthr^{\text{th}} term Tr=3Tr−1+6rT_r=3T_{r-1}+6^r, r=2,3,……,nr=2,3,\ldots\ldots, n. If the sum of the…HardNumerical value
  9. 6 Apr 2024, Shift 2 · Q7A software company sets up mm number of computer systems to finish an assignment in 17 days. If 4 computer systems crashed on the start…MediumSingle correct
  10. 6 Apr 2024, Shift 2 · Q16Let ABCABC be an equilateral triangle. A new triangle is formed by joining the middle points of all sides of the triangle ABCABC and the…MediumSingle correct
  11. 8 Apr 2024, Shift 1 · Q25Let the positive integers be written in the form : 1 2 3 4 5 6 7 8 9 10 ... If the kthk^{\mathrm{th}} row contains exactly kk numbers for…MediumNumerical valueHas a figure
  12. 8 Apr 2024, Shift 2 · Q8In an increasing geometric progression of positive terms, the sum of the second and sixth terms is 703\frac{70}{3} and the product of the…MediumSingle correct
  13. 8 Apr 2024, Shift 2 · Q23AP Sum of n terms · Medium · Numerical value · has a figure
  14. 9 Apr 2024, Shift 1 · Q5Method of Differences (Vn Method) · Medium · Single correct
  15. 9 Apr 2024, Shift 1 · Q26AP Sum of n terms · Medium · Numerical value
  16. 9 Apr 2024, Shift 2 · Q1Extrema of Linear Trigonometric Forms · Medium · Single correct
  17. 9 Apr 2024, Shift 2 · Q7Infinite GP Sum · Medium · Single correct
  18. 9 Apr 2024, Shift 2 · Q24Method of Differences for Telescoping Series · Hard · Numerical value
  19. 1 Feb 2024, Shift 1 · Q6Conditions for Three Terms in AP or GP · Medium · Single correct
  20. 1 Feb 2024, Shift 1 · Q25Common Terms of Two APs · Medium · Numerical value
  21. 1 Feb 2024, Shift 2 · Q7AP Sum of n terms · Medium · Single correct
  22. 1 Feb 2024, Shift 2 · Q23Conditions for Three Terms in AP or GP · Medium · Numerical value
  23. 27 Jan 2024, Shift 1 · Q7Counting Common Terms of Finite APs · Medium · Single correct
  24. 27 Jan 2024, Shift 1 · Q24Sum of Infinite AGP · Medium · Numerical value
  25. 29 Jan 2024, Shift 1 · Q6Open the question · Hard · Single correct
  26. 29 Jan 2024, Shift 1 · Q7GP Sum of n terms · Medium · Single correct
  27. 30 Jan 2024, Shift 1 · Q6AP Sum of n terms · Medium · Single correct
  28. 30 Jan 2024, Shift 1 · Q24Method of Differences for Telescoping Series · Medium · Numerical value
  29. 30 Jan 2024, Shift 2 · Q6GP General Term · Easy · Single correct
  30. 30 Jan 2024, Shift 2 · Q25AP Sum of n terms · Medium · Numerical value
  31. 31 Jan 2024, Shift 1 · Q5Method of Differences for Telescoping Series · Medium · Single correct
  32. 31 Jan 2024, Shift 2 · Q7GP General Term · Medium · Single correct

JEE Main 202320 questions

  1. 6 Apr 2023, Shift 1 · Q7Method of Differences for Telescoping Series · Medium · Single correct
  2. 6 Apr 2023, Shift 1 · Q8Method of Differences (Vn Method) · Medium · Single correct
  3. 6 Apr 2023, Shift 2 · Q10Open the question · Medium · Single correct
  4. 8 Apr 2023, Shift 1 · Q9Open the question · Medium · Single correct
  5. 8 Apr 2023, Shift 2 · Q8Method of Differences for Telescoping Series · Medium · Single correct
  6. 8 Apr 2023, Shift 2 · Q24Simultaneous AP, GP, HP Condition · Hard · Numerical value
  7. 10 Apr 2023, Shift 1 · Q6GP Sum of Squares · Medium · Single correct
  8. 10 Apr 2023, Shift 1 · Q26AP Sum of n terms · Easy · Numerical value
  9. 10 Apr 2023, Shift 2 · Q8Method of Differences for Telescoping Series · Medium · Single correct
  10. 10 Apr 2023, Shift 2 · Q24AGP General Term · Medium · Numerical value
  11. 11 Apr 2023, Shift 1 · Q5Domain of Variable Base Logarithms · Hard · Single correct
  12. 11 Apr 2023, Shift 1 · Q25Sum of Finite AGP · Medium · Numerical value
  13. 11 Apr 2023, Shift 2 · Q9Weighted AM-GM Inequality · Medium · Single correct
  14. 11 Apr 2023, Shift 2 · Q23Second-Order AGP Summation · Hard · Numerical value
  15. 12 Apr 2023, Shift 1 · Q8Method of Differences for Telescoping Series · Hard · Single correct
  16. 13 Apr 2023, Shift 1 · Q6AP Sum of n terms · Medium · Single correct
  17. 13 Apr 2023, Shift 1 · Q24AP Sum of n terms · Medium · Numerical value
  18. 13 Apr 2023, Shift 2 · Q8GP General Term · Medium · Single correct
  19. 15 Apr 2023, Shift 1 · Q8Arithmetic and Geometric Means · Medium · Single correct
  20. 15 Apr 2023, Shift 1 · Q24Infinite GP Sum · Hard · Numerical value

JEE Main 202242 questions

  1. 25 Jul 2022, Shift 1 · Q24AP General Term · Hard · Numerical value
  2. 25 Jul 2022, Shift 1 · Q25AP Sum of n terms · Medium · Numerical value
  3. 25 Jul 2022, Shift 2 · Q5Method of Differences for Telescoping Series · Easy · Single correct
  4. 26 Jul 2022, Shift 1 · Q6Product of n Geometric Means · Medium · Single correct
  5. 26 Jul 2022, Shift 1 · Q23AP Sum of n terms · Medium · Numerical value
  6. 26 Jul 2022, Shift 2 · Q24Method of Differences for Telescoping Series · Hard · Numerical value
  7. 26 Jul 2022, Shift 2 · Q29Open the question · Hard · Numerical value
  8. 27 Jul 2022, Shift 1 · Q6AP Ratio Conversion: Sum to General Term · Medium · Single correct
  9. 27 Jul 2022, Shift 1 · Q27Open the question · Hard · Numerical value
  10. 27 Jul 2022, Shift 2 · Q7Infinite GP Sum · Medium · Single correct
  11. 27 Jul 2022, Shift 2 · Q24Method of Differences for Telescoping Series · Hard · Numerical value
  12. 28 Jul 2022, Shift 1 · Q19Open the question · Hard · Single correct
  13. 28 Jul 2022, Shift 2 · Q86GP Sum of n terms · Medium · Numerical value
  14. 29 Jul 2022, Shift 1 · Q4Method of Differences for Telescoping Series · Medium · Single correct
  15. 29 Jul 2022, Shift 1 · Q24Sum of Infinite AGP · Medium · Numerical value
  16. 29 Jul 2022, Shift 1 · Q28Method of Differences (Vn Method) · Medium · Numerical value
  17. 29 Jul 2022, Shift 2 · Q6AGP Recurrence Relation · Hard · Single correct
  18. 30 Jul 2022, Shift 2 · Q67AP Sum of n terms · Medium · Single correct
  19. 30 Jul 2022, Shift 2 · Q68Open the question · Hard · Single correct
  20. 24 Jun 2022, Shift 1 · Q13AP Sum of n terms · Medium · Single correct
  21. 24 Jun 2022, Shift 2 · Q4Weighted AM-GM Inequality · Medium · Single correct
  22. 25 Jun 2022, Shift 1 · Q4GP Sum of n terms · Medium · Single correct
  23. 25 Jun 2022, Shift 1 · Q8GP Sum of n terms · Medium · Single correct
  24. 25 Jun 2022, Shift 1 · Q26Higher Degree Evaluation via Root Substitution · Medium · Numerical value
  25. 25 Jun 2022, Shift 1 · Q30GP Sum of n terms · Medium · Numerical value
  26. 25 Jun 2022, Shift 2 · Q8Sum of Finite AGP · Easy · Single correct
  27. 26 Jun 2022, Shift 1 · Q29Open the question · Hard · Numerical value
  28. 26 Jun 2022, Shift 2 · Q3Infinite GP Sum · Medium · Single correct
  29. 26 Jun 2022, Shift 2 · Q27GP General Term · Medium · Numerical value
  30. 27 Jun 2022, Shift 1 · Q3Infinite GP Sum · Medium · Single correct
  31. 27 Jun 2022, Shift 1 · Q27Method of Differences (Vn Method) · Hard · Numerical value
  32. 27 Jun 2022, Shift 2 · Q5Second-Order AGP Summation · Medium · Single correct
  33. 27 Jun 2022, Shift 2 · Q6AP General Term · Medium · Single correct
  34. 28 Jun 2022, Shift 1 · Q6GP General Term · Medium · Single correct
  35. 28 Jun 2022, Shift 1 · Q27Open the question · Hard · Numerical value
  36. 28 Jun 2022, Shift 2 · Q5Arithmetic and Geometric Means · Medium · Single correct
  37. 28 Jun 2022, Shift 2 · Q25Infinite GP Sum · Hard · Numerical value
  38. 29 Jun 2022, Shift 1 · Q12AGP Recurrence Relation · Medium · Single correct
  39. 29 Jun 2022, Shift 2 · Q4Second-Order AGP Summation · Medium · Single correct
  40. 29 Jun 2022, Shift 2 · Q23Common Terms of Two APs · Medium · Numerical value
  41. 30 Jun 2022, Shift 1 · Q7Method of Differences (Vn Method) · Easy · Single correct
  42. 30 Jun 2022, Shift 1 · Q22AGP General Term · Medium · Numerical value

JEE Main 202132 questions

  1. 3 Aug 2021, Shift 1 · Q85Open the question · Hard · Numerical value
  2. 3 Aug 2021, Shift 1 · Q86AP General Term · Hard · Numerical value
  3. 3 Aug 2021, Shift 2 · Q67Arithmetic and Geometric Means · Medium · Single correct
  4. 3 Aug 2021, Shift 2 · Q83AP Sum of n terms · Easy · Numerical value
  5. 4 Aug 2021, Shift 1 · Q81GP General Term · Medium · Numerical value
  6. 4 Aug 2021, Shift 2 · Q86Conditions for Three Terms in AP or GP · Medium · Numerical value
  7. 26 Aug 2021, Shift 1 · Q67Infinite GP Sum · Medium · Single correct
  8. 26 Aug 2021, Shift 2 · Q90AP Sum of n terms · Medium · Numerical value
  9. 27 Aug 2021, Shift 1 · Q64Infinite GP Sum · Medium · Single correct
  10. 27 Aug 2021, Shift 1 · Q78Integration Method for Harmonic-Geometric Series · Hard · Single correct
  11. 27 Aug 2021, Shift 2 · Q65Open the question · Medium · Single correct
  12. 31 Aug 2021, Shift 1 · Q65GP General Term · Medium · Single correct
  13. 31 Aug 2021, Shift 1 · Q66Method of Differences for Telescoping Series · Medium · Single correct
  14. 31 Aug 2021, Shift 2 · Q65AP Recognition from Quadratic Sum · Medium · Single correct
  15. 31 Aug 2021, Shift 2 · Q84Second-Order AGP Summation · Hard · Numerical value
  16. 24 Feb 2021, Shift 2 · Q89GP Reciprocal Transformation · Medium · Numerical value
  17. 25 Feb 2021, Shift 1 · Q64Infinite GP Sum · Medium · Single correct
  18. 25 Feb 2021, Shift 1 · Q85GP General Term · Medium · Numerical value
  19. 26 Feb 2021, Shift 1 · Q77GP General Term · Medium · Single correct
  20. 26 Feb 2021, Shift 1 · Q78Sum of Infinite AGP · Easy · Single correct
  21. 26 Feb 2021, Shift 2 · Q66Open the question · Hard · Single correct
  22. 26 Feb 2021, Shift 2 · Q89GP General Term · Medium · Numerical value
  23. 22 Jul 2021, Shift 2 · Q74AP Sum of n terms · Easy · Single correct
  24. 25 Jul 2021, Shift 1 · Q76AP Sum of n terms · Easy · Single correct
  25. 25 Jul 2021, Shift 1 · Q84Sum of Infinite AGP · Medium · Numerical value
  26. 16 Mar 2021, Shift 2 · Q89GP General Term · Medium · Numerical value
  27. 16 Mar 2021, Shift 2 · Q90Open the question · Hard · Numerical value
  28. 17 Mar 2021, Shift 1 · Q67Open the question · Medium · Single correct
  29. 18 Mar 2021, Shift 1 · Q67Open the question · Medium · Single correct
  30. 18 Mar 2021, Shift 1 · Q68Method of Differences for Telescoping Series · Medium · Single correct
  31. 18 Mar 2021, Shift 1 · Q89Open the question · Hard · Numerical value · has a figure
  32. 18 Mar 2021, Shift 2 · Q73AP Sum of n terms · Medium · Single correct

JEE Main 202021 questions

  1. 8 Jan 2020, Shift 1 · Q56AM-GM Inequality Application · Medium · Single correct
  2. 8 Jan 2020, Shift 1 · Q73AP Sum of n terms · Easy · Numerical value
  3. 8 Jan 2020, Shift 2 · Q57AP pth term is 1/q Trick · Medium · Single correct
  4. 8 Jan 2020, Shift 2 · Q72Open the question · Medium · Numerical value
  5. 9 Jan 2020, Shift 1 · Q57Infinite Product Reduction to AGP · Medium · Single correct
  6. 9 Jan 2020, Shift 2 · Q57GP Sum of n terms · Medium · Single correct
  7. 9 Jan 2020, Shift 2 · Q69Infinite GP Sum · Easy · Single correct
  8. 9 Jan 2020, Shift 2 · Q72Counting Common Terms of Finite APs · Medium · Numerical value
  9. 2 Sep 2020, Shift 1 · Q57Symmetric Selection of GP Terms · Medium · Single correct
  10. 2 Sep 2020, Shift 1 · Q58Infinite GP Sum · Medium · Single correct
  11. 2 Sep 2020, Shift 2 · Q57AP Sum of n terms · Medium · Single correct
  12. 2 Sep 2020, Shift 2 · Q58AP Sum of n terms · Medium · Single correct
  13. 3 Sep 2020, Shift 1 · Q56AP Sum of n terms · Easy · Single correct
  14. 3 Sep 2020, Shift 1 · Q73Infinite GP Sum · Medium · Numerical value
  15. 3 Sep 2020, Shift 2 · Q56AP Sum of n terms · Medium · Single correct
  16. 3 Sep 2020, Shift 2 · Q73Arithmetic and Geometric Means · Medium · Numerical value
  17. 4 Sep 2020, Shift 1 · Q57Open the question · Medium · Single correct
  18. 4 Sep 2020, Shift 2 · Q57AP General Term · Medium · Single correct
  19. 5 Sep 2020, Shift 1 · Q56Conditions for Three Terms in AP or GP · Medium · Single correct
  20. 5 Sep 2020, Shift 1 · Q57GP Sum of n terms · Medium · Single correct
  21. 6 Sep 2020, Shift 2 · Q56AP General Term · Medium · Single correct

JEE Main 20172 questions

  1. 2 Apr 2017 (offline) · Q68Conditions for Three Terms in AP or GP · Hard · Single correct
  2. 2 Apr 2017 (offline) · Q69Open the question · Medium · Single correct

Questions from the official JEE Main papers published by NTA. Chapter, topic and idea tags, counts and notes are Lumi’s. Pattern: Asked most years.

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