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.
package Demo;
import java.util.Scanner;
public class Seriese
{
public static void main(String[] args)
{
Scanner sc = new Scanner(System.in);
float a, r, i, tn;
int n;
float sum = 0;
System.out.print("Enter the first number of the G.P. series: ");
a = sc.nextFloat();
System.out.print("Enter the total numbers in the G.P. series: ");
n = sc.nextInt();
System.out.print("Enter the common ratio of G.P. series: ");
r = sc.nextFloat();
sum = (float)((a * (1  Math.pow(r, n + 1))) / (1  r));
tn = (float)(a * (1  Math.pow(r, n  1)));
System.out.printf("tn term of G.P.:", tn);
System.out.printf("Sum of the G.P.:", sum);
}
}
Output:
Enter the first number of the G.P. series: 4
Enter the total numbers in the G.P. series: 7
Enter the common ratio of G.P. series: 3
tn term of G.P.: 2912.000000
Sum of the G.P.: 13120.000000
BUILD SUCCESSFUL (total time: 14 seconds)

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