Question:medium

If \[ x=2+\frac{7}{8}+\frac{7\cdot10}{8\cdot12}+\frac{7\cdot10\cdot13}{8\cdot12\cdot16}+\cdots, \] then \(x^3=\)

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Look for arithmetic progression in numerator and denominator separately to identify telescoping product patterns.

Updated On: Jun 22, 2026

81
625
256
216 \bigskip

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The Correct Option is B

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