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Saturday, 31 October

JEE Main · Maths · Sequences and Series

AP General Term

JEE Main asked AP General Term 7 times in 7 of the 108 shifts Lumi analysed, in 2020, 2021, 2022 and 2026. It belongs to AP and GP, in Sequences and Series (Maths). The longest wait between two years asking it was 4 years. In 2020, 2022 and 2026 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
7
in 7 shifts
Years
4 of 8
First asked
2020
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2022 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.150.30’170.17’200.03’210.07’220’230’240’250.22’26

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

Shift by shift

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

  • 20262 of 9
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20222 of 24
  • 20211 of 24
  • 20202 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
  • Terms of arithmetic means between two numbers

Difficulty

Easy 1Medium 4Hard 2

2 of the 7 questions had a numerical answer.

Every question

All 7 questions

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

  1. 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
  2. 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
  3. 27 Jun 2022, Shift 2 · Q6If a1,a2,a3 ......a_1, a_2, a_3\,...... and b1,b2,b3......b_1, b_2, b_3...... are A.P., and a1=2, a10=3, a1b1=1=a10b10a_1=2,\ a_{10}=3,\ a_1b_1=1=a_{10}b_{10}, then a4 b4a_4\,b_4 is equal to -MediumSingle correct
  4. 25 Jul 2022, Shift 1 · Q24Let a, ba,\ b be two non-zero real numbers. If pp and rr are the roots of the equation x2−8ax+2a=0x^2-8ax+2a=0 and qq and ss are the roots of the…HardNumerical value
  5. 3 Aug 2021, Shift 1 · Q86Let f(x)=x+1f(x) = x + 1 and gg be maps on R\mathbb{R} and h(n)=(g∘f)(n+1)−(g∘f)(n)h(n) = (g \circ f)(n+1) - (g \circ f)(n), n∈Nn \in \mathbb{N}. Further,…HardNumerical value
  6. 6 Sep 2020, Shift 2 · Q56The common difference of the A.P. b1,b2,…,bmb_1, b_2, \ldots, b_m is 2 more than the common difference of A.P. a1,a2,…,ana_1, a_2, \ldots, a_n. If…MediumSingle correct
  7. 4 Sep 2020, Shift 2 · Q57Let a1,a2,…,ana_1, a_2, \ldots, a_n be a given A.P. whose common difference is an integer and Sn=a1+a2+…+anS_n = a_1 + a_2 + \ldots + a_n. If…MediumSingle correct

Shifts: 4 Sep 2020, Shift 2, 6 Sep 2020, Shift 2, 3 Aug 2021, Shift 1, 27 Jun 2022, Shift 2, 25 Jul 2022, Shift 1, 2 Apr 2026, Shift 2, 5 Apr 2026, 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