### REASONING - Completing the Series

REASONING

Completing the Series

In these types of questions there is a sequence and a missing number. You need to identify the sequence in order to tell the missing number.

1.    1, 2, 4, 7, 11, 16, __, 29

Hint: In this sequence the difference between two successive numbers is increasing. Check the difference between successive terms is 1, 2, 3, 4, 5, 6, 7…. So the missing number is 22 as per the sequence.

2.     3, 8, 15, 24, 35, __, 63

3.    4, 7, 12, 19, __, 39

4.    5, 10, 20, 25, 35, 40, 50, __, 65

5.    3, 6, 9, 15, 18, 21, 27, 30, 33, ___

6.    3, 12, 27, 48, __, 108

7.    4, 7, 11, 18, 29, __ , 76

8.    2, 6, 12, 20, 30, __, 56

9.    1, -2, -2, 4, -8, -32, 256, ___, -2097152

10.12, 6, 24, 12, 48, 18, 96, 24, ___, 30

Answers:

 1.             22 2.             48 3.             28 4.             55 5.             39 6.             75 7.             47 8.             42 9.             -8192 10.         192

Hints:

1.    In this sequence the difference between two successive numbers is increasing. Check the difference between successive terms is 1, 2, 3, 4, 5, 6, 7…. So the missing number is 22 as per the sequence

2.    Pattern is  x2 - 1

3.    Pattern is x2 + 3

4.    Pattern is Multiple of 5s but multiples of 3 are omitted

5.    Pattern is multiples of 3 but omit the multiples of 4

6.    Pattern is 3 x2

7.    Next term is the sum of two previous terms

8.    Pattern is n(n+1)

9.    Next term is product of previous two terms

10.Identify the alternate terms forming patterns

12, 6, 24, 12, 48, 18, 96, 24, 192, 30, 384, 36

Red terms are getting doubled

Middle ones are increasing by 6

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