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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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