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    Find the missing term in the following number series. 2, 12, 36, 80, ?, 252, 392
    Question

    Find the missing term in the following number series. 2, 12, 36, 80, ?, 252, 392

    A.

    146

    B.

    150

    C.

    168

    D.

    172

    Correct option is B

    Given series:
    2, 12, 36, 80, ?, 252, 392
    Logic:
    Each term follows the pattern
    n × n × (n + 1)
    starting from n= 1 
    Explanation:
    2 = 1 × 1 × 2
    12 = 2 × 2 × 3
    36 = 3 × 3 × 4
    80 = 4 × 4 × 5
    ? = 5 × 5 × 6 = 150
    252 = 6 × 6 × 7
    392 = 7 × 7 × 8
    Thus, the missing number is 150.
    Thus, correct option is (B).

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