Sequences and Series


Direction: What should come in place of the question mark in each of the following number series ?

  1. 39, 52, 78, 117, 169, ?,









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    Series pattern
    39 + 1 x 13 = 52
    52 + 2 x 13 = 78
    78 + 3 x 13 = 117
    117 + 4 x 13 = 169

    Correct Option: C

    Series pattern
    39 + 1 x 13 = 52
    52 + 2 x 13 = 78
    78 + 3 x 13 = 117
    117 + 4 x 13 = 169
    169 + 5 x 13 = 234 Should come in place of ?


Direction: Find the missing term in each of the following series ?

  1. 41, 40, 36, ?, 11









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    Series Pattern
    (-1)2, (-2)2, (-3)2, (-4)2
    Missing term = 36 - 32 = 27

    Correct Option: B

    Series Pattern
    (-1)2, (-2)2, (-3)2, (-4)2
    Missing term = 36 - 32 = 27



  1. Find 1³ + 2³ + 3³ + .... + 15³









  1. View Hint View Answer Discuss in Forum

    According to question, we have,

    1³ + 2³ + 3³ + ........ + n³ =
    n × (n + 1)
    ²
    2

    Here, n = number of terms = 15

    Correct Option: D

    According to question, we have,

    1³ + 2³ + 3³ + ........ + n³ =
    n × (n + 1)
    ²
    2

    Here, n = number of terms = 15
    n(n + 1)
    ² =
    15 × 16
    ²
    22

    Required answer = (120)² = 14400


  1. The wrong number in the sequence 1, 8, 27, 84, 125, 216, 343 is









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    The given sequence is :
    First term = 1³ = 1
    Second term = 2³ = 8
    Third term = 3³ = 27
    Fourth term = 4³ = 84 is wrong term . So , 64 is correct number .
    Fifth term = 5³ = 125
    ........... and so on.

    Correct Option: C

    The given sequence is :
    First term = 1³ = 1
    Second term = 2³ = 8
    Third term = 3³ = 27
    Fourth term = 4³ = 84 is wrong term . So , 64 is correct number .
    Fifth term = 5³ = 125
    Sixth term = 6³ = 216
    Seventh term = 7³ = 343
    Clearly, 84 is the wrong number.



  1. The numbers of the sequence 52, 51, 48, 43, 34, 27, 16 form a pattern. Which of them is misfit in the pattern ?









  1. View Hint View Answer Discuss in Forum

    The given sequence is based on the following pattern :
    52 – 1 = 51
    51 – 3 = 48
    48 – 5 = 43
    43 – 7 = 34 is wrong number . So , 36 is correct number .
    ........... and so on.

    Correct Option: B

    The given sequence is based on the following pattern :
    52 – 1 = 51
    51 – 3 = 48
    48 – 5 = 43
    43 – 7 = 34 is wrong number . So , 36 is correct number .
    36 – 9 = 27
    27 – 11 = 16
    Hence, 34 is the wrong number.