JEE Main 2026 — Sequences and Series Question with Solution
JEE Main 2026 (28 January Shift 1)
Question
The value of is
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Evaluate .
Rewrite as and split: .
The first sum, after rewriting for , evaluates to 0 using the exponential series .
The second sum with substitution gives .
Therefore, the total is .
Rewrite as and split: .
The first sum, after rewriting for , evaluates to 0 using the exponential series .
The second sum with substitution gives .
Therefore, the total is .
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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.