JEE Main 2026 — Sequences and Series Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
The positive integer n, for which the solutions of the equation are two consecutive even integers, is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A3
Step-by-step explanation
The sum has terms: .
Expanding and summing gives .
Dividing by and simplifying: .
Discriminant .
Difference of roots .
For two consecutive even integers, this difference .
.
For : or , which are consecutive even integers.
Expanding and summing gives .
Dividing by and simplifying: .
Discriminant .
Difference of roots .
For two consecutive even integers, this difference .
.
For : or , which are consecutive even integers.
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This is a previous-year question from JEE Main 2026, 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.