JEE Main 2023MathematicsSequences And SeriesArithmetic ProgressionmediumMCQ

JEE Main 2023Sequences And Series Question with Solution

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

Question

Let and \sum_\limits{j=1}^{n} S_{j}^{2}=\frac{n}{A}\left(B n^{2}+C n+D\right), where and has least value. Then

Choose an option

Show full solutionCorrect option: D
Correct answer
D is divisible by

Step-by-step explanation







On comparing, we get



(A) , which is not divisible by 5.

(B) , which is divisible by 2(B).

(C)



(D) , divisible by 13.

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About this question

This is a previous-year question from JEE Main 2023, covering the Sequences And Series 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.