JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 13 April 2023, Shift 2, Maths Q25

Question 25 of 90 in this shift, Maths question 25 of 30, Section B.

Let

f(x)=\sum_{k=1}^{10}k\,x^k

x\in\mathbb{R}

. If

2f(2)+f'(2)=119(2)^n+1

then

n

is equal to ______

Official answer

NTA final key.

Chapter: Limits and Derivatives
Topic: Arithmetico-Geometric Series
Idea tested: Derivative Method for AGP Sums

Same topic in other shifts

All Arithmetico-Geometric Series questions

3 Apr 2025, Shift 2 · Q8If the probability that the random variable $X$ takes the value $x$ is given by $P(X = x) = k(x + 1)3^{-x},\ x = 0, 1, 2, 3\ldots$ , where…MediumSingle correct
8 Apr 2023, Shift 2 · Q17If the probability that the random variable $X$ takes values $x$ is given by $P(X = x) = k(x + 1)3^{-x}$ , $x = 0, 1, 2, 3, \ldots$ , where…MediumSingle correct
11 Apr 2023, Shift 1 · Q25Let $S = 109 + \frac{108}{5} + \frac{107}{5^2} + \ldots + \frac{2}{5^{107}} + \frac{1}{5^{108}}$ . Then the value of $(16S - (25)^{-54})$ …MediumNumerical value
29 Jun 2022, Shift 1 · Q12Let $\{a_n\}_{n=0}^{\infty}$ be a sequence such that $a_0 = a_1 = 0$ and $a_{n+2} = 2a_{n+1} - a_n + 1$ for all $n \ge 0$ . Then,…MediumSingle correct
25 Jul 2021, Shift 1 · Q84If the value of…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.