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Saturday, 31 October

JEE Main · Maths · Sequences and Series

GP General Term

JEE Main asked GP General Term 15 times in 15 of the 108 shifts Lumi analysed, in 2021, 2022, 2023, 2024 and 2025. It belongs to AP and GP, in Sequences and Series (Maths). The longest wait between two years asking it was 1 year. In 2021, 2022, 2024 and 2025 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
15
in 15 shifts
Years
5 of 8
First asked
2021
last in 2025
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022, 2023, 2024 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.150.30’170’200.21’210.07’220.07’230.19’240.25’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 6 in 24 shifts · 2022: 2 in 24 shifts · 2023: 1 in 12 shifts · 2024: 4 in 18 shifts · 2025: 2 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20252 of 8
  • 20244 of 18
  • 20231 of 12
  • 20222 of 24
  • 20216 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

  • Combined ap and gp conditions
  • Sum of gp from term-group sums

Difficulty

Easy 2Medium 13Hard 0

5 of the 15 questions had a numerical answer.

Every question

All 15 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 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
  2. 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
  3. 31 Jan 2024, Shift 2 · Q7Let 2nd2^{nd}, 8th8^{th} and 44th44^{th} terms of a non-constant A. P. be respectively the 1st1^{st}, 2nd2^{nd} and 3rd3^{rd} terms of a G. P. If…MediumSingle correct
  4. 30 Jan 2024, Shift 2 · Q6Let aa and bb be be two distinct positive real numbers. Let 11th11^{\mathrm{th}} term of a GP, whose first term is aa and third term is…EasySingle correct
  5. 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
  6. 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
  7. 13 Apr 2023, Shift 2 · Q8Let a1,a2,a3,…a_1, a_2, a_3, \ldots be a G.P. of increasing positive numbers. Let the sum of its 6th6^{th} and 8th8^{th} terms be 22 and the…MediumSingle correct
  8. 28 Jun 2022, Shift 1 · Q6Let A1,A2,A3,....A_1, A_2, A_3, .... be an increasing geometric progression of positive real numbers. If A1A3A5A7=11296A_1A_3A_5A_7=\frac{1}{1296} and…MediumSingle correct
  9. 26 Jun 2022, Shift 2 · Q27If a1 (>0),a2,a3,a4,a5a_1\ (> 0), a_2, a_3, a_4, a_5 are in a G.P., a2+a4=2a3+1a_2 + a_4 = 2a_3 + 1 and 3a2+a3=2a43a_2 + a_3 = 2a_4, then a2+a4+2a5a_2 + a_4 + 2a_5 is equal to…MediumNumerical value
  10. 16 Mar 2021, Shift 2 · Q89Let 116\frac{1}{16}, a and b be in G.P. and 1a,1b\frac1a,\frac1b, 6 be in A.P., where a,b>0a,b>0. Then 72(a+b)72(a+b) is equal to ________.MediumNumerical value
  11. 26 Feb 2021, Shift 2 · Q89If the arithmetic mean and geometric mean of the pthp^{th} and qthq^{th} terms of the sequence −16,8,−4,2,…-16, 8, -4, 2, \ldots satisfy the equation…MediumNumerical value
  12. 26 Feb 2021, Shift 1 · Q77In an increasing geometric series, the sum of the second and the sixth term is 252\frac{25}{2} and the product of the third and fifth term…MediumSingle correct
  13. 25 Feb 2021, Shift 1 · Q85Let A1,A2,A3,.....\mathrm{A}_1, \mathrm{A}_2, \mathrm{A}_3, ..... be squares such that for each n≥1\mathrm{n} \geq 1, the length of the side of…MediumNumerical value
  14. 31 Aug 2021, Shift 1 · Q65Three numbers are in an increasing geometric progression with common ratio r. If the middle number is doubled, then the new numbers are in…MediumSingle correct
  15. 4 Aug 2021, Shift 1 · Q81Let p,qp, q and rr be the first three terms of a G.P. such that ∣p+q+r∣=15|p+q+r|=15, and the common ratio of this G.P. is negative. If p<rp<r and…MediumNumerical value

Shifts: 25 Feb 2021, Shift 1, 26 Feb 2021, Shift 2, 26 Feb 2021, Shift 1, 16 Mar 2021, Shift 2, 4 Aug 2021, Shift 1, 31 Aug 2021, Shift 1, 26 Jun 2022, Shift 2, 28 Jun 2022, Shift 1, 13 Apr 2023, Shift 2, 30 Jan 2024, Shift 2, 31 Jan 2024, Shift 2, 4 Apr 2024, Shift 1, 8 Apr 2024, Shift 2, 3 Apr 2025, Shift 1, 7 Apr 2025, Shift 2.

Same topic

Other ideas in AP and GP

AP and GP has 23 ideas JEE Main has asked; 16 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas