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Sequences and Series question

2025 · 24 Jan · Shift 2 · Q36

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JEE Main
Mathematics
Sequences and Series
2025 · 24 Jan · Shift 2 · Q36

Sequences and Series question

2025 · 24 Jan · Shift 2 · Q36

JEE MainMathematicsSequences and SeriesMCQ+4 / −1

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 \ldots \infty

, then the value of

\alpha

is :

A
$\frac{1}{7}$
B
1
C
$\frac{6}{7}$
D
6

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