Learn

Saturday, 31 October

JEE Main · Maths · Sequences and Series

AP Recognition from Quadratic Sum

JEE Main asked AP Recognition from Quadratic Sum 2 times in 2 of the 108 shifts Lumi analysed, in 2021 and 2026. It belongs to AP and GP, in Sequences and Series (Maths). The longest wait between two years asking it was 5 years.

Updated 2026-10-24

Times asked
2
in 2 shifts
Years
2 of 8
First asked
2021
last in 2026
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

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

00.10.20’170’200.03’210’220’230’240’250.11’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 0 in 18 shifts · 2025: 0 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
  • 20250 of 8
  • 20240 of 18
  • 20230 of 12
  • 20220 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

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

  • Sum of squares of ap terms from sn
  • Ratio of terms from ratio of sums of ap

Difficulty

Easy 1Medium 1Hard 0

Every question was multiple choice.

Every question

All 2 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 1 · Q2Let the sum of the first nn terms of an A.P. be 3n2+5n3n^2 + 5n. Then the sum of squares of the first 10 terms of the A.P. is:EasySingle correct
  2. 31 Aug 2021, Shift 2 · Q65Let a1,a2,a3,...\mathrm{a_1, a_2, a_3, ...} be an A.P. If a1+a2+...+a10a1+a2+...+ap=100p2\frac{\mathrm{a_1+a_2+...+a_{10}}}{\mathrm{a_1+a_2+...+a_p}} = \frac{100}{\mathrm{p}^2},…MediumSingle correct

Shifts: 31 Aug 2021, Shift 2, 5 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