Homework #2
Due: 06/18/2025
Write C code that does the following:
1. Numerically compute the following series
1− 1
3
 + 1
5
 − 1
7
 + 1
9
 − … = π
4
 ,
and approximate π (details in class). Vary iteration numbers and find out how many terms are needed to get 3.14159. Background. Note that the general term, an, is expressed as
an = (−1)n+1
2 n − 1
 .
2. A sequence an is given with the following rule:

an+2 = − 2 an+1 + 3 an,     a0 = 2,     a1 = −1.
Write a C program to compute a17.
3.

    (a) Write a function, int factorial(int n), which returns n! (the factorial of n, i.e. 1 ×2 ×3 ×…×n.)
    (b) Using int factorial(int n) above, write a program to compute
    1 + 1
    1!
    		 + 1
    2!
    		 + …+ 1
    11!
    		 .
Make sure that you attach example runs showing the results from the computer.


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On 09 Jun 2025, 15:22.