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A series is given with one term missing. Choose the correct alternative that will complete the series. 2, 1, \(\left(\frac{1}{2}\right)\), \(\left(\frac{1}{4}\right)\), ?

Question and options

A series is given with one term missing. Choose the correct alternative that will complete the series.

2, 1, (12)\left(\frac{1}{2}\right), (14)\left(\frac{1}{4}\right), ?
  1. 26\frac{2}{6}
  2. 15\frac{1}{5}
  3. 14\frac{1}{4}
  4. 18\frac{1}{8}

Answer and explanation

Correct answer: D - \(\frac{1}{8}\)
Each term is half the previous one: 2, 1, 12\frac{1}{2}, 14\frac{1}{4}. So the next term is 14×12=18\frac{1}{4} \times \frac{1}{2} = \frac{1}{8}; 15\frac{1}{5} would need the denominators to rise by one, which they do not.

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