JEE Main 2026 — Sequences and Series Question with Solution
JEE Main 2026 (24 January Shift 2)
Question
Let be an A.P. of four terms such that each term of the A.P. and its common difference are integers. If and , then the largest term of the A.P. is equal to
Choose an option
Show full solutionCorrect option: C
Correct answer
C27
Step-by-step explanation
Let the four terms be with common difference .
Sum is satisfied. Product condition:
Let :
(integer) or (rejected).
, . Terms: .
Largest term .
Sum is satisfied. Product condition:
Let :
(integer) or (rejected).
, . Terms: .
Largest term .
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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.