1. The number is a mathematical constant approximated at 3.14. A formula for computing it is as follows: Write a program called pic that approximates the value of by using the following equation: where n is a number entered by the user Your program will first compute as 4( (-1)Y1) then as 4( (-1)/1 + (-1)'/3), then as 4( (-1)/1 + (-1)/3 + (-1)/5) and so on. In each step, print the step number and the value of so far, as follows (with 8 digits after the decimal point): 0: 1: 2: 3.46666666 Use double (not float) to store the value of pi. Update your program so the output is printed every 100 iteration. How many iterations (up to precision in 100's) does you program take for the value to pi to converge within 10*ero(.e, to stop changing the estimated value even if you increase the given output n)? Only when you are ready, use typescript from the script command to report the computer session that computes at the required precision 10.. Note: using math.h, you need to link the math library when compiling your program using the gcc option-lm