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Saturday, 31 October

JEE Main · Maths · Sequences and Series

GP Sum of n terms

JEE Main asked GP Sum of n terms 10 times in 8 of the 108 shifts Lumi analysed, in 2020, 2022, 2024, 2025 and 2026. It belongs to AP and GP, in Sequences and Series (Maths). The longest wait between two years asking it was 2 years. In 2020 and 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
10
in 8 shifts
Years
5 of 8
First asked
2020
last in 2026
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2022, 2024, 2025 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.150.30’170.25’200’210.14’220’230.05’240.13’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 3 in 12 shifts · 2021: 0 in 24 shifts · 2022: 4 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 in 18 shifts · 2025: 1 in 8 shifts · 2026: 1 in 9 shifts.

Shift by shift

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

  • 20261 of 9
  • 20251 of 8
  • 20241 of 18
  • 20230 of 12
  • 202232 of 24
  • 20210 of 24
  • 20203 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Numerical value is the usual form. Skill tested: multi-step.

  • Gp sum from trig extrema
  • Dictionary rank with geometric probabilities

Difficulty

Easy 0Medium 8Hard 2

5 of the 10 questions had a numerical answer.

Every question

All 10 questions

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

  1. 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
  2. 3 Apr 2025, Shift 1 · Q22All five letter words are made using all the letters A, B, C, D, E and arranged as in an English dictionary with serial numbers. Let the…HardNumerical value
  3. 29 Jan 2024, Shift 1 · Q7If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P, then the common ratio of the G.P. is…MediumSingle correct
  4. 25 Jun 2022, Shift 1 · Q4Let f:N→Rf:\mathbf{N}\to\mathbf{R} be a function such that f(x+y)=2f(x) f(y)f(x+y)=2f(x)\,f(y) for natural numbers xx and yy. If f(1)=2f(1)=2, then the value…MediumSingle correct
  5. 25 Jun 2022, Shift 1 · Q8If 12⋅310+122⋅39+…+1210⋅3=K210⋅310\frac{1}{2\cdot3^{10}}+\frac{1}{2^2\cdot3^9}+\ldots+\frac{1}{2^{10}\cdot3}=\frac{K}{2^{10}\cdot3^{10}}, then the remainder when K is…MediumSingle correct
  6. 25 Jun 2022, Shift 1 · Q30The greatest integer less than or equal to the sum of first 100 terms of the sequence…MediumNumerical value
  7. 28 Jul 2022, Shift 2 · Q86If 6312+10311+20310+4039+...+102403=2n⋅m\frac{6}{3^{12}}+\frac{10}{3^{11}}+\frac{20}{3^{10}}+\frac{40}{3^9}+...+\frac{10240}{3}=2^n\cdot m, where m is odd, then m⋅nm\cdot n…MediumNumerical value
  8. 6 Sep 2020, Shift 2 · Q73Suppose that a function f:R→Rf:\mathbf{R}\to\mathbf{R} satisfies f(x+y)=f(x)f(y)f(x+y)=f(x)f(y) for all x,y∈Rx,y\in\mathbf{R} and f(1)=3f(1)=3. If…MediumNumerical value
  9. 5 Sep 2020, Shift 1 · Q57If 210+29⋅31+28⋅32+....+2⋅39+310=S−2112^{10}+2^{9}\cdot3^{1}+2^{8}\cdot3^{2}+....+2\cdot3^{9}+3^{10}=S-2^{11}, then S is equal to :MediumSingle correct
  10. 9 Jan 2020, Shift 2 · Q57Let ana_n be the nthn^{\mathrm{th}} term of a G.P. of positive terms. If ∑n=1100a2n+1=200\sum_{n=1}^{100}a_{2n+1}=200 and ∑n=1100a2n=100\sum_{n=1}^{100}a_{2n}=100,…MediumSingle correct

Shifts: 9 Jan 2020, Shift 2, 5 Sep 2020, Shift 1, 6 Sep 2020, Shift 2, 25 Jun 2022, Shift 1, 28 Jul 2022, Shift 2, 29 Jan 2024, Shift 1, 3 Apr 2025, Shift 1, 6 Apr 2026, Shift 1.

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