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Jee Main 2025 — Medium JEE math MCQ

If $7 = 5 \times 1 + \frac{1}{7} (5 + \alpha) + \frac{1}{7^2} (5 + 2\alpha) + \frac{1}{7^3} (5 + 3\alpha) + \cdots \infty$, then the value of $\alpha$ is
  1. A. $\frac{6}{7}$
  2. B. 6
  3. C. $\frac{1}{7}$
  4. D. 1

Solution

The correct option is **B**. (B. 6)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
If 7=5×1+17(5+α)+172(5+2α)+173(5+3α)+⋯∞7 = 5 \times 1 + \frac{1}{7} (5 + \alpha) + \frac{1}{7^2} (5 + 2\alpha) + \frac{1}{7^3} (5 + 3\alpha) + \cdots \infty, then the value of α\alpha is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep