Sum
of infinite GP series in c programming language
#include<stdio.h>
int main(){
float a,r;
float sum=0;
printf("Enter
the first number of the G.P. series: ");
scanf("%f",&a);
printf("Enter
the common ratio of G.P. series: ");
scanf("%f",&r);
if(1 > r)
sum
= a/(1-r);
else
sum
= a/(r-1);
printf("\nSum of
the infinite G.P. series: %f",sum);
return 0;
}
Sample output:
Enter the first number of
the G.P. series: 1
Enter the common ratio of
G.P. series: .5
Sum of the infinite G.P. series:
2.000000
Enter the first number of
the G.P. series: 5
Enter the common ratio of
G.P. series: 2
Sum of the infinite G.P. series:
5.000000
Definition of geometric progression (G.P.):
A series of numbers in which
ratio of any two consecutive numbers is always a same number that is constant.
This constant is called as common ratio.
Example of G.P. series:
2 4 8 16 32 64
Here common difference is 2
since ratio any two consecutive numbers for example 32 / 16 or 64/32 is 2.
Sum of G.P. series:
Sn =a(1–rn+1)/(1-r)
Tn term of G.P. series:
Tn = arn-1
Sum of infinite G.P. series:
Sn = a/(1-r) if 1 > r
= a/(r-1) if r > 1
6. Write a c program to find out the sum of given H.P.
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