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    Select the number from among the given options that can replace the question mark (?) in the following series.10, 18, 42, 114, 330, ?
    Question

    Select the number from among the given options that can replace the question mark (?) in the following series.
    10, 18, 42, 114, 330, ?

    A.

    978

    B.

    876

    C.

    678

    D.

    545

    Correct option is A

    Given: ​10, 18, 42, 114, 330, ?
    Logic: Multiply the difference between the two terms by 3 to get the difference between the next two terms.
    Explanation:
    10 + 8 = 18
    18 + (8 ×\times 3) = 18 + 24 = 42
    42 + (24 ×\times 3) = 42 + 72 = 114
    114 + (72 ×\times 3) = 114 + 216 = 330
    Similarly, 330 + (216 ×\times 3) = 330 + 648 = 978
    So, the missing term is 978.
    Thus, the correct answer is (a).

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