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Saturday, 31 October

JEE Main · Maths · Sequences and Series

AGP Recurrence Relation

JEE Main asked AGP Recurrence Relation 3 times in 3 of the 108 shifts Lumi analysed, in 2022 and 2024. It belongs to Arithmetico-Geometric Series, in Sequences and Series (Maths). The longest wait between two years asking it was 2 years. In 2022 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2022
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.050.10’170’200’210.07’220’230.05’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 0 in 24 shifts · 2022: 2 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 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
  • 20241 of 18
  • 20230 of 12
  • 20222 of 24
  • 20210 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.

  • Sum of series from recurrence
  • Series from recurrence relation

Difficulty

Easy 0Medium 1Hard 2

1 of the 3 questions had a numerical answer.

Every question

All 3 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 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
  2. 29 Jun 2022, Shift 1 · Q12Let {an}n=0∞\{a_n\}_{n=0}^{\infty} be a sequence such that a0=a1=0a_0 = a_1 = 0 and an+2=2an+1−an+1a_{n+2} = 2a_{n+1} - a_n + 1 for all n≥0n \ge 0. Then,…MediumSingle correct
  3. 29 Jul 2022, Shift 2 · Q6Let {an}n=0∞\{a_n\}_{n=0}^{\infty} be a sequence such that a0=a1=0a_0=a_1=0 and an+2=3an+1−2an+1, ∀n≥0a_{n+2}=3a_{n+1}-2a_n+1,\ \forall n\geq 0. Then…HardSingle correct

Shifts: 29 Jun 2022, Shift 1, 29 Jul 2022, Shift 2, 6 Apr 2024, Shift 1.

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