JEE Main 2026 — Sequences and Series Question with Solution
JEE Main 2026 (06 April Shift 1)
Question
The value of is:
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
The given series is .
This can be rewritten as the sum of all cubes up to minus twice the sum of cubes of even numbers up to :
Using the formula for the sum of cubes :
Substituting these values back into the expression for :
Answer:
This can be rewritten as the sum of all cubes up to minus twice the sum of cubes of even numbers up to :
Using the formula for the sum of cubes :
Substituting these values back into the expression for :
Answer:
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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.