Definition of harmonic progression (A.P.):
This C Program calculates the the sum of H.P series. This program is used to find the sum of the harmonic progression series. Here H.P stands for harmonic progression. Harmonic progression is a progression formed by taking the reciprocals of an arithmetic progression.
Example of H.P. series:
1/3, 1/6, 1/9, …
If you take the reciprocal of each term from the above HP, the sequence will become
3, 6, 9, ...
which is an AP with a common difference of 3.
C Program
#include<stdio.h>
#include<conio.h>
void main() {
int n;
float i, sum, t;
printf("1+1/2+1/3+......+1/n\n");
printf("Enter the value of n\n");
scanf("%d",&
amp;
n);
sum=0;
for (i=1;i<=n;i++) {
t=1/i;
sum=sum+t;
}
printf("%f",sum);
getch();
}
Output:
1 + 1 / 2 + 1 / 3 +......+1 / n Enter the value of n 5 the Sum of H.P Series is = 2.283334