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Select the option that will fill in the blank and complete the series.​116\frac{1}{16}161​, 14\frac{1}{4}41​, 1, ___, 16
Question

Select the option that will fill in the blank and complete the series.

116\frac{1}{16}, 14\frac{1}{4}, 1, ___, 16

A.

18\frac{1}{8}

B.

4

C.

112\frac{1}{12}

D.

8

Correct option is B

Given: 116\frac{1}{16}, 14\frac{1}{4}, 1, __, 16
Logic: Multiply the given term in the series by 4 to get the next term in the series.
116\frac{1}{16} ×\times 4 = 14\frac{1}{4}
14 ×\frac{1}{4} \ \times 4 = 1
Similarly, 1 ×\times 4 = 4
×\times 4 = 16
So, 4 is the missing number in the series.
Thus, the correct answer is (b).

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