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    Find the missing number in the given series following the same pattern:21, 13, 40, -24, 101, (?)
    Question

    Find the missing number in the given series following the same pattern:
    21, 13, 40, -24, 101, (?)

    A.

    -121

    B.

    129

    C.

    119

    D.

    -115

    Correct option is D

    Given:
    21, 13, 40, -24, 101, (?)
    Logic: The difference is cube of the number in increasing order.
    13 - 21 = -8 (-23)
    40 - 13 = 27 (33)
    -24 - 40 = -64 (-43)
    101 - (-24) = 101 + 24 = 125 (53)
    The next difference in the sequence should be (−6)3 = −216:
    Next term = 101+(−216) = 101−216 = −115
    So, -115 is next term.
    Thus, the correct answer is (d).

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