JEE Main Maths · Limits and Derivatives

Derivative Method for AGP Sums

Derivative Method for AGP Sums (Limits and Derivatives) was asked once in the 42 JEE Main shifts Lumi analysed, in 2023. 1 of the 1 had a numerical answer.

Times asked: 1; in 1 shift
Years: 2023
Usual format: Numerical value; Multi-step
Pattern: Occasional; asked once so far

How it is asked

Sum of series with summation general term

Difficulty

Easy 0Medium 0Hard 1

Where it sits

Chapter: Limits and Derivatives. Topic: Arithmetico-Geometric Series, 6 questions over 5 ideas.

The question

Newest first, each with its options and official answer.

13 Apr 2023, Shift 2 · Q25Let $f(x)=\sum_{k=1}^{10}k\,x^k$ , $x\in\mathbb{R}$ . If $2f(2)+f'(2)=119(2)^n+1$ then $n$ is equal to ______HardNumerical value