Math, asked by suryanshnadha, 8 months ago

16. , 17, 13. , 22. , 6. , ___

Answers

Answered by sanjana200623
0

Answer:

Here is your answer

Step-by-step explanation:

42

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Answered by qwachieve
1

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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