Question

Write a C program to sum this series through the term 1/199 and output the result. Use a for loop in your program and include a header, preprocessor directives, function prototype reserved words, main function, standard identifier, function call, function definitions with comments . Note that the series converges very slowly, so your result may not be very accurate.

The series

ln(2) = 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + ...

converges to the value ln(2) = 0.693147....

Answer 1

Source Code:

#include <stdio.h>
int main()
{
int i=1;
double sum=0;
for(i=1;i<=199;i++)
{
if(i%2==1) // for adding odding odd terms like 1/1 ,1/3,1/5,...
sum=sum+(1/(float)i);
else // for substracting even terms 1/2,1/4,1/6,....
sum=sum-(1/(float)i);
}
printf("The resultant sum is %lf\n",sum);

return 0;
}

Sample output: