JEE Main 2025 — Sequences and Series Question with Solution
JEE Main 2025 (24 Jan Shift 2)
Question
If , then the value of is :
Choose an option
Show full solutionCorrect option: B
Correct answer
B6
Step-by-step explanation
Then
Since, and
$\begin{aligned}
& 7=\frac{5}{1-\frac{1}{7}}+\frac{\alpha \cdot \frac{1}{7}}{\left(1-\frac{1}{7}\right)^2} \\
& \Rightarrow \alpha=6
\end{aligned}$
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This is a previous-year question from JEE Main 2025, 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.