Sequences and Series | JEE Main 2025 | Infinite Series

JEE MAIN 2025

24-01-2025 SHIFT-2

Question

If $7=5+\frac{1}{7}(5+\alpha)+\frac{1}{7^{2}}(5+2 \alpha)+\frac{1}{7^{3}}(5+3 \alpha)+\ldots \ldots \ldots$, then the value of $\alpha$ is :

Select the correct option:

A

$\frac{6}{7}$

B

1

C

$\frac{1}{7}$

D

6

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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