Write C code that does the following:1. Numerically compute the following series

1-

13

+

15

-

17

+

19

- ... =

4

,

and approximate p (details in class). Vary iteration numbers. Background. Note that the general term, a_n, is expressed as

an =

(-1)n+12 n - 1

.

2. Numerically sum up the infinite series:

1+

122

+

132

+

142

+

152

+ ...

This series is known to converge to p²/6 theoretically.3. A sequence a_n is given with the following rule:

a_n+2 = - 2 a_n+1 + 3 a_n, a₀ = 2, a₁ = -1.

Write a C program to compute a₁₇.4. Write a C code to make a table of (x , x - x³/6 + x⁵/120, sin x) using functions in the format of

x	x - x3/6 + x5/120	sin (x)
0.0	2.000	1.000
0.1	1.901	1.105
0.2	1.808	1.221
...	...	...
2.0	8.000	7.389

Note: The values above are not correct.

#include float f(float x) return x*x ; /* main */ int main() int i; printf(" x printf("-- f(x) "); --- "); ---------- for (i=0; i