Question

In this example you are allowed to use from the C standard library only functions for input and output (e.g. printf(), scanf())

Complete the following functions using C programming language:

Calculate the value of π from the infinite series:

π = 4 – 4/3 + 4/5 – 4/7 + 4/9 – 4/11 + …

Complete the double Q4(intQ4_input) function which reads a positive integer Q4_input as an input parameter and calculates the value of π by adding up the first Q4_input terms of the above series. You must return the calculated value as a double

Answer 1

#include<stdio.h>

double Q4(int Q4_input){
   int i, d = 1;
   double result = 0;
   for(i=0;i<Q4_input;i++){
      if(i%2==0){
         result = result + (1.0/d);
      }
      else{
         result = result - (1.0/d);
      }
      d += 2;
   }
   return result*4;
}

int main(){
   int n;
   
   printf("Enter input: ");
   scanf("%d",&n);
   
   printf("Result: %lf\n",Q4(n));
   return 0;
}