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    Choose the number which will come next in the following series. 3, 4, 13, 38, 87, 168, ?
    Question

    Choose the number which will come next in the following series.
    3, 4, 13, 38, 87, 168, ?

    A.

    199

    B.

    289

    C.

    203

    D.

    259

    Correct option is B

    Given:
    3, 4, 13, 38, 87, 168, ?
    Logic: The difference between two number is square of odd number. (The pattern 12,32,52,72,921^2, 3^2, 5^2, 7^2, 9^2​ odd squares.)
    3 + 1 = 4
    4 + 9 = 13
    13 + 25 = 38
    38 + 49 = 87
    87 + 81 = 168
    168 + 121 = 289
    So, 289 is next term.
    Thus, the correct answer is (b).

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