JEE Main 2023MathematicsApplication Of DerivativesMaxima And MinimamediumNumerical

JEE Main 2023 — Application Of Derivatives Question with Solution

From: JEE Main 2023 (Online) 8th April Morning Shift

Question

If is the greatest term in the sequence , then is equal to _____________.

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Show full solutionCorrect answer: 5
Correct answer
5

Step-by-step explanation



For maxima/minima, put



Now, by descrates rule on number line we have

JEE Main 2023 (Online) 8th April Morning Shift Mathematics - Application of Derivatives Question 44 English Explanation

Since sign changes from negative to positive at 0 .

Maximum value of is at

Now,



So, is maximum at

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About this question

This is a previous-year question from JEE Main 2023, covering the Application Of Derivatives chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.