What is the value of \(1 + \frac{1}{4} + \frac{1}{16} + \frac{1}{64} +…

GATE · 2018 · EC · General Aptitude

What is the value of 1+14+116+164+1256+⋯1 + \frac{1}{4} + \frac{1}{16} + \frac{1}{64} + \frac{1}{256} + \cdots?

  1. A.

    2

  2. B.

    74\frac{7}{4}

  3. C.

    32\frac{3}{2}

  4. D.

    43\frac{4}{3}

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