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JEE Main 2023 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 10 April 2023, Shift 2, Maths Q24

Question 24 of 90 in this shift, Maths question 24 of 30, Section B.

Suppose

a_1, a_2, 2, a_3, a_4

be in an arithmetico-geometric progression. If the common ratio of the corresponding geometric progression is

2

and the sum of all

5

terms of the arithmetico-geometric progression is

\frac{49}{2}

, then

a_4

is equal to _______.

Official answer

16

NTA final key.

Chapter: Sequences and Series
Topic: Arithmetico-Geometric Series
Idea tested: AGP General Term

Same idea in other shifts

Asked 2× in all

30 Jun 2022, Shift 1 · Q22Let for $f(x) = a_0x^2 + a_1x + a_2$ , $f'(0) = 1$ and $f'(1) = 0$ . If $a_0, a_1, a_2$ are in an arithmatico-geometric progression, whose…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 108 of the 174 JEE Main shifts held from 2017 to 2026.