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Create a C program that will implement Borwein\'s algorithm (seen below) for app

ID: 3566882 • Letter: C

Question

Create a C program that will implement Borwein's algorithm (seen below) for approximating the value of pi. The program will ask for user input for the number of terms to evaluate and print out the result to give sixteen decimal places to the right of the decimal point. Write the code to compute the fourth root and minimize the use of pow().

Create a C program that will implement Borwein's algorithm (seen below) for approximating the value of pi. The program will ask for user input for the number of terms to evaluate and print out the result to give sixteen decimal places to the right of the decimal point. Write the code to compute the fourth root and minimize the use of pow(). y0 = root 2 - 1 a0 = 6 - 4 root 2 y k + 1 = 1 - f(k)/1 + f(yk) where f9y) = fourth root 1 - y^4 ak + 1 = ak(1 + yk + 1 )^4 - 2^2k + 3 yk + 1 (1 + yk + 1 + y^2 k + 1) here 1/ak yields pi as k increases

Explanation / Answer

#include using namespace std; int main() { int loop_num = 0; cout > loop_num; double my_pi = 4.0; bool add_check = false; int den = 3; for (int i = 0; i