JEE Main 2026 — Sequences and Series Question with Solution
JEE Main 2026 (04 April Shift 1)
Question
The first term of an A.P. of non-negative terms is . If the sum of this A.P. is the cube of its last term, then its common difference is:
Choose an option
Show full solutionCorrect option: A
Correct answer
A
Step-by-step explanation
Given and .
Let the last term be and the common difference be .
The sum of the A.P. is given by .
According to the given condition, .
Since has no real roots, we get .
The last term of the A.P. is .
Answer:
Let the last term be and the common difference be .
The sum of the A.P. is given by .
According to the given condition, .
Since has no real roots, we get .
The last term of the A.P. is .
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.