JEE Main Maths · Sequences and Series

GP General Term

GP General Term (Sequences and Series) was asked 6 times in 6 JEE Main shifts, 2021–2025, out of the 42 shifts Lumi analysed. 1 of the 6 had a numerical answer.

Times asked: 6; in 6 shifts
Years: 2021–2025
Usual format: Single correct; Calculation
Pattern: Comes in cycles; repeats across shifts

How it is asked

Combined ap and gp conditions
Sum of gp from term-group sums

Difficulty

Easy 2Medium 4Hard 0

Where it sits

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

All 6 questions

Newest first, each with its options and official answer.

3 Apr 2025, Shift 1 · Q6Let $a_1, a_2, a_3, \ldots$ be a G.P. of increasing positive numbers. If $a_3 a_5 = 729$ and $a_2 + a_4 = \frac{111}{4}$ , then…EasySingle correct
7 Apr 2025, Shift 2 · Q7If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth and twelfth terms is…MediumSingle correct
30 Jan 2024, Shift 2 · Q6Let $a$ and $b$ be be two distinct positive real numbers. Let $11^{\mathrm{th}}$ term of a GP, whose first term is $a$ and third term is…EasySingle correct
31 Jan 2024, Shift 2 · Q7Let $2^{nd}$ , $8^{th}$ and $44^{th}$ terms of a non-constant A. P. be respectively the $1^{st}$ , $2^{nd}$ and $3^{rd}$ terms of a G. P. If…MediumSingle correct
13 Apr 2023, Shift 2 · Q8Let $a_1, a_2, a_3, \ldots$ be a G.P. of increasing positive numbers. Let the sum of its $6^{th}$ and $8^{th}$ terms be $2$ and the…MediumSingle correct
16 Mar 2021, Shift 2 · Q89Let $\frac{1}{16}$ , a and b be in G.P. and $\frac1a,\frac1b$ , 6 be in A.P., where $a,b>0$ . Then $72(a+b)$ is equal to ________.MediumNumerical value