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Started 8 months ago by Shashank in SNAP, SNAP Analytical & Logical Reasoning, Series

In the given series, determine the number coming in the blank space.  0, 1, 6, 21, 52, 105, 186, 301, ___ a...

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In the given series, determine the number coming in the blank space. 

0, 1, 6, 21, 52, 105, 186, 301, ___

a 410

b 421

c 434

d 456

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1 Replies

  • Replied 8 months ago

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    ANSWER - D

    By tabulating the difference between the numbers of the given series:

     

    0

     

    1

     

    6

     

    21

     

    52

     

    105

     

    186

     

    301

    1st Difference

     

    1

     

    5

     

    15

     

    31

     

    53

     

    81

     

    115

     

    2nd Difference

     

     

    4

     

    10

     

    16

     

    22

     

    28

     

    34

     

     

    3rd  Difference

     

     

     

    6

     

    6

     

    6

     

    6

     

    6

     

     

     

     

    The 3rd difference is constant.

    ∴ The next number will be 301 + 115 + 34 + 6 = 456

    ∴ Therefore (d).