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it will tell the nth term of A.P and the sum of n terms of A.P #684

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it will tell the nth term of A.P and the sum of n terms of A.P #684

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12 changes: 12 additions & 0 deletions algebra/arithmetic_progression/java/arithmetic_progression.java
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Original file line number Diff line number Diff line change
@@ -1,5 +1,6 @@
// For an arithmetic progression a + (a + d) + (a + 2d) + (a + 3d) + ...
// with a being the initial term and d being the common difference
import java.util.*;
public class arithmetic_progression {

// This function calculates the nth term
Expand All @@ -11,5 +12,16 @@ public static int nth_term(int a, int d, int n) {
public static int sum_of_first_n(int a, int d, int n) {
return ((n) * ((2 * a) + (n - 1) * d)) / 2;
}
public static void main(String[] args){
Scanner scn=new Scanner(System.in);
System.out.println("Enter number of terms in arithmentic progression:");
int n=scn.nextInt();
System.out.println("Enter first term of Arithmentic progression:");
int a=scn.nextInt();
System.out.println("Enter the mean difference between each term:");
int d=scn.nextInt();
System.out.println(n+ "-th " + "term of an arithmetic progression is: " + nth_term(a,d,n) );
System.out.println("Sum of first "+ n + " terms is: "+ sum_of_first_n(a,d,n));

}
}