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Saturday, 31 October

JEE Main · Maths · Sequences and Series

Second-Order AGP Summation

JEE Main asked Second-Order AGP Summation 4 times in 4 of the 108 shifts Lumi analysed, in 2021, 2022 and 2023. It belongs to Arithmetico-Geometric Series, in Sequences and Series (Maths). The longest wait between two years asking it was 1 year. In 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
4
in 4 shifts
Years
3 of 8
First asked
2021
last in 2023
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200.03’210.07’220.07’230’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 2 in 24 shifts · 2023: 1 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 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
  • 20250 of 8
  • 20240 of 18
  • 20231 of 12
  • 20222 of 24
  • 20211 of 24
  • 20200 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.

  • Find unknown from infinite series sum
  • Sum of infinite series with polynomial numerator

Difficulty

Easy 0Medium 2Hard 2

2 of the 4 questions had a numerical answer.

Every question

All 4 questions

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

  1. 11 Apr 2023, Shift 2 · Q23For k∈Nk \in \mathbb{N}, if the sum of the series 1+4k+8k2+13k3+19k4+…1 + \frac{4}{k} + \frac{8}{k^2} + \frac{13}{k^3} + \frac{19}{k^4} + \ldots is 1010,…HardNumerical value
  2. 29 Jun 2022, Shift 2 · Q4The sum of the infinite series…MediumSingle correct
  3. 27 Jun 2022, Shift 2 · Q5Let S=2+67+1272+2073+3074+… ..S=2+\frac{6}{7}+\frac{12}{7^2}+\frac{20}{7^3}+\frac{30}{7^4}+\dots.. Then 4S4S is equal toMediumSingle correct
  4. 31 Aug 2021, Shift 2 · Q84If S=75+952+1353+1954+...\mathrm{S} = \frac{7}{5}+\frac{9}{5^2}+\frac{13}{5^3}+\frac{19}{5^4}+..., then 160 S160\,\mathrm{S} is equal to ______________.HardNumerical value

Shifts: 31 Aug 2021, Shift 2, 27 Jun 2022, Shift 2, 29 Jun 2022, Shift 2, 11 Apr 2023, Shift 2.

Same topic

Other ideas in Arithmetico-Geometric Series

Arithmetico-Geometric Series has 9 ideas JEE Main has asked; 6 of them came up in more than one question.

Topic analysisChapter analysisStudy this chapterAll repeated ideas