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# Consecutive Natural Numbers Program in Java

A positive natural number, for example 27 can be represented as follows:
2 + 3 + 4 + 5 + 6 + 7
8 + 9 + 10
13 + 14
where every row represents a combination of consecutive natural numbers, which add up to 27.

Write a program which inputs a positive natural number N and prints the possible consecutive number combinations, which when added give N.

Test your program for the following data and some random data.

Example 1:
INPUT:
N = 9
OUTPUT:
4 + 5
2 + 3 + 4

Example 2:
INPUT:
N = 15
OUTPUT:
7 + 8
1 + 2 + 3 + 4 + 5
4 + 5 + 6

Example 3:
INPUT:
N = 21
OUTPUT:
10 + 11
1 + 2 + 3 + 4 + 5 + 6
6 + 7 + 8

``````import java.io.*;
class Consecutive{
public static void main(String args[])throws IOException{
System.out.print("N = ");
String seq = "";
for(int i = n - 1; i >= 1; i--){
int sum = 0;
seq = "";
boolean status = false;
for(int j = i; j >= 1; j--){
sum += j;
seq = j + " + " + seq;
if(sum == n){
status = true;
break;
}
}
if(status)
System.out.println(seq.substring(0, seq.lastIndexOf('+')));
}
}
}``````

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