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MathsJEE Main 24 Jan 2026, Shift 2·Q7·MCQ·Moderate

Sequences & Series · Infinite geometric series

(13+47)+(132+13×47+4272)+(133+132×47+13×4272+4373)+…\left(\frac13 + \frac47\right) + \left(\frac{1}{3^2} + \frac13\times\frac47 + \frac{4^2}{7^2}\right) + \left(\frac{1}{3^3} + \frac{1}{3^2}\times\frac47 + \frac13\times\frac{4^2}{7^2} + \frac{4^3}{7^3}\right) + \ldots upto infinite terms is equal to
  1. (1)52\dfrac52
  2. (2)74\dfrac74
  3. (3)43\dfrac43
  4. (4)65\dfrac65

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