MCQMediumJEE Main 2025 · 24 January, Shift 2Sum of Series

Mathematics Question from JEE Main 2025 · 24 January, Shift 2

If 7=5+17(5+α)+172(5+2α)+173(5+3α)+7 = 5 + \frac{1}{7}(5 + \alpha) + \frac{1}{7^2}(5 + 2\alpha) + \frac{1}{7^3}(5 + 3\alpha) + \cdots, then the value of α\alpha is:

  • A

    67\frac{6}{7}

  • B

    11

  • C

    17\frac{1}{7}

  • D

    66

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