Sequences and Series


  1. The wrong number in the sequence 3, 5, 7, 9, 13, 17, 19 is









  1. View Hint View Answer Discuss in Forum

    The numbers of the sequence are the consecutive prime numbers starting from 3.
    Since, 9 is not a prime number, it should be replaced by 11.

    Correct Option: C

    The numbers of the sequence are the consecutive prime numbers starting from 3.
    Since, 9 is not a prime number, it should be replaced by 11.
    Hence ,the wrong number in the sequence is 9 .


  1. The next number of the sequence 5, 10, 13, 26, 29, 58, 61,... is









  1. View Hint View Answer Discuss in Forum

    The given sequence is based on the following pattern :

    Correct Option: A

    The given sequence is based on the following pattern :

    Hence , the next number of the sequence is 122.



  1. The next term of the sequence 1, 9, 28, 65, 126, ... is









  1. View Hint View Answer Discuss in Forum

    The pattern of the sequence is :
    1 + 2³ = 1 + 8 = 9
    1 + 3³ = 1 + 27 = 28
    1 + 4³ = 1 + 64 = 65
    1 + 5³ = 1 + 125 = 126
    ........... and so on.

    Correct Option: D

    The pattern of the sequence is :
    1 + 2³ = 1 + 8 = 9
    1 + 3³ = 1 + 27 = 28
    1 + 4³ = 1 + 64 = 65
    1 + 5³ = 1 + 125 = 126
    1 + 6³ = 1 + 216 = ?
    ∴ ? = 217


  1. The wrong number of the sequence 36, 81, 144, 225, 256, 441 is









  1. View Hint View Answer Discuss in Forum

    The pattern of the sequence is :
    6² = 36
    9² = 81
    12² = 144
    15² = 225
    18² = 324 ≠ 256
    ........... and so on.

    Correct Option: D

    The pattern of the sequence is :
    6² = 36
    9² = 81
    12² = 144
    15² = 225
    18² = 324 ≠ 256
    21² = 441
    From above , It is clear that the wrong number of the sequence is 256 .



  1. The next term of the sequence 2, 3, 6, 7, 14, ..... is









  1. View Hint View Answer Discuss in Forum

    The pattern of the sequence is :
    First term = 2
    Second term = First term + 1 = 2 + 1 = 3
    Third term = Second term × 2 = 3 × 2 = 6
    Fourth term = Third term + 1 = 6 + 1 = 7
    Fifth term = Fourth term × 2 = 7 × 2 = 14
    Sixth term = Fifth term + 1 = 14 + 1 = ?

    Correct Option: A

    The pattern of the sequence is :
    First term = 2
    Second term = First term + 1 = 2 + 1 = 3
    Third term = Second term × 2 = 3 × 2 = 6
    Fourth term = Third term + 1 = 6 + 1 = 7
    Fifth term = Fourth term × 2 = 7 × 2 = 14
    Sixth term = Fifth term + 1 = 14 + 1 = ?
    ∴ ? = 15

    Hence , The next term of the sequence is 15 .