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    Which of the following numbers will replace the question mark (?) in the given series? 1, 6, 31, 156, ?, 3906
    Question

    Which of the following numbers will replace the question mark (?) in the given series?
    1, 6, 31, 156, ?, 3906

    A.

    781

    B.

    2125

    C.

    985

    D.

    1225

    Correct option is A

    Given,
    1, 6, 31, 156, ?, 3906
    First, check the difference:
    6−1=5
    31−6=25
    156−31=125
    Next difference: ?−156=
    3906−?=
    So the differences are:
    +5, +25, +125, ?
    Now observe:
    These differences are powers of 5:
    51 = 5
    52=2
    53=125
    Next: 54=625
    So,
    Next number=156+625= 781
    Alternate method:

    So, 781 will complete the series .
    Thus the correct answer is: Option A

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