16. , 17, 13. , 22. , 6. , ___
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Given:
The series is : 16, 17, 13, 22, 6, __
To find:
The missing number in the series.
Solution:
By looking at the series, we can say that the series is increasing and decreasing randomly.
We will find the pattern which the series is following.
16, 17, 13, 22, 6, _
16 + 1 = 17
17- 4= 13
13+ 9 = 22
22- 16 = 6
The addition and difference of the consecutive terms form a pattern in the following way:
+1, -4, + 9, -16...
Here the pattern is: 1², 2², 3², 4²
5² will be added to 6 to continue the series.
⇒ 6 + 25 = 31
Hence, the missing number is 31.
The series is 16, 17, 13, 22, 6, 31.
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