Write a C program that calculates the approximate value of from the following three infinite series:

=

4

3

4

+

5

4

7

4

+

9

4

11

4

+

. . .

2

=

12

1

4

1

+

9

1

16

1

+

25

1

36

1

+

. . .

=

(12)

1

/

2

1

3

*

3

1

+

5

*

3

2

1

7

*

3

3

1

+

. . .

A sample interaction and output of the program is given on a separate page. Your program should prompt the user for a non-negative integer and check its validity. If the input is a negative integer, the program should display a message and prompt the user to input a non-negative integer again. All inputs are assumed to be of type integer. If the non-negative integer is zero, the program should terminate, otherwise it should output an approximate value of using the given series and prompt the user again. When writing the program, do not use the formula for the given series, simply write code that will alternately add or subtract a term to/from the series.