JEE Main 2026 — Sequences and Series Question with Solution
JEE Main 2026 (28 January Shift 1)
Question
In a G.P., if the product of the first three terms is 27 and the set of all possible values for the sum of its first three terms is , then is equal to .
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Show full solutionCorrect answer: 90
Correct answer
90
Step-by-step explanation
In the G.P., let the first three terms be .
From the product condition: , so .
The sum of first three terms is .
For , by AM-GM: , so .
For : .
So .
Thus the possible values of are .
Therefore and .
From the product condition: , so .
The sum of first three terms is .
For , by AM-GM: , so .
For : .
So .
Thus the possible values of are .
Therefore and .
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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.