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    What should come in place of '?' in the given series?12, 18, 30, 54, 102, ?
    Question

    What should come in place of '?' in the given series?
    12, 18, 30, 54, 102, ?

    A.

    204

    B.

    198

    C.

    187

    D.

    190

    Correct option is B

    Given - 12, 18, 30, 54, 102, ?

    Logic - the difference is double in each time
    Identify the relationship between consecutive terms:
    18 - 12 = 6
    30 - 18 = 12
    54 - 30 = 24
    102 - 54 = 48
    The differences between consecutive terms are:
    6, 12, 24, 48
    Check if there is a pattern in the differences:
    12 ÷ 6 = 2
    24 ÷ 12 = 2
    48 ÷ 24 = 2
    The differences are doubling each time. So, following this pattern, the next difference should be:
    48 × 2 = 96

    Add the difference to the last term:

    102 + 96 = 198
    Thus, the next term in the series is 198.

    Answer:
    B. 198

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