JEE Main 2026MathematicsSequences and SeriesHardNumerical

JEE Main 2026Sequences and Series Question with Solution

JEE Main 2026 (21 January Shift 1)

Question

Let and for . Then is equal to .

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Show full solutionCorrect answer: 2
Correct answer
2

Step-by-step explanation

Let .
.
Simplifying: .
So is GP with ratio .
, so .
.
.

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About this question

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.