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    Identify the numbers that occur in the given series: 0, 3, 10, 21, 36, … ? A. 55 B. 78 C. 99 D. 105 E. 136 Choose the most appropriate ans
    Question

    Identify the numbers that occur in the given series: 0, 3, 10, 21, 36, … ?
    A. 55
    B. 78
    C. 99
    D. 105
    E. 136
    Choose the most appropriate answer from the options given below:

    A.

    A, B, C and D only

    B.

    B, C, and E only

    C.

    C, D, E, and A only

    D.

    D, E, A, and B only

    Correct option is D

    The given series: 0, 3, 10, 21, 36, …
    Given = the double difference is 4
    first difference
    3 - 0 = 3
    10 - 3 = 7
    21 - 10 = 11
    36 - 21 = 15
    double difference is
    7 - 3 = 4
    11 - 7 = 4
    15 - 11 = 4
    so next difference should be 15 + 4 = 19
    further next = 19 + 4= 23
    further next = 23 + 4 = 27
    further next difference = 27 + 4 = 31
    so next term = 36 + 19 = 55
    further next term = 55 + 23 = 78
    further next term = 78 + 27 = 105
    further next term = 105 + 31 = 136
    hence except C (99) all term will be answer.
    Hence option d is correct.

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