JEE Main Maths · Sequences and Series

GP Sum of n terms

GP Sum of n terms (Sequences and Series) was asked 5 times in 5 JEE Main shifts, 2020–2026, out of the 42 shifts Lumi analysed. 3 of the 5 had a numerical answer.

Times asked: 5; in 5 shifts
Years: 2020–2026
Usual format: Numerical value; Multi-step
Pattern: Frequent; repeats across shifts

How it is asked

Gp sum from trig extrema
Dictionary rank with geometric probabilities

Difficulty

Easy 0Medium 3Hard 2

Where it sits

Chapter: Sequences and Series. Topic: AP and GP, 59 questions over 17 ideas.

All 5 questions

Newest first, each with its options and official answer.

6 Apr 2026, Shift 1 · Q24For the functions $f(\theta)=\alpha\tan^2\theta+\beta\cot^2\theta$ , and $g(\theta)=\alpha\sin^2\theta+\beta\cos^2\theta$ ,…HardNumerical value
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
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
9 Jan 2020, Shift 2 · Q57Let $a_n$ be the $n^{\mathrm{th}}$ term of a G.P. of positive terms. If $\sum_{n=1}^{100}a_{2n+1}=200$ and $\sum_{n=1}^{100}a_{2n}=100$ ,…MediumSingle correct
6 Sep 2020, Shift 2 · Q73Suppose that a function $f:\mathbf{R}\to\mathbf{R}$ satisfies $f(x+y)=f(x)f(y)$ for all $x,y\in\mathbf{R}$ and $f(1)=3$ . If…MediumNumerical value