Write C code that does the following: 1. Numerically compute the following series 4 and approximate (details in class). Vary iteration numbers. (Check the Math is document Note that the general term, an, is expressed as r2 2. Numerically sum up the infinite series: 2 3 4* 5 This series is known to converge to 2/6 theoretically 3. A sequence a is given with the following rule: Write a C program to compute a17 4. Write a C code to make a table of (r.x-r3/6+x/120, sin x using functions in the format of -6+/120 sin) 0.0 2.000 1.000 0.11.901 1.105 0.2 1.808 1.221 20 8.000 7.389 Note: The values above are not correct