JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 31 January 2024, Shift 2, Maths Q7

Question 7 of 90 in this shift, Maths question 7 of 30, Section A.

Let

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 the first term of the A. P. is 1, then the sum of its first 20 terms is equal to -

(1)960
(2)970Official answer
(3)980
(4)990

Official answer

Option 2

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: GP General Term

Same idea in other shifts

Asked 6× in all

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
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

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.