#### Question:

A positive natural number, (for e.g. 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.

**SAMPLE DATA**

**INPUT:
**N = 9

**OUTPUT:
**4 + 5

2 + 3+ 4

**INPUT:
**N = 15

**OUTPUT:
**7 +8

1 +2+ 3+ 4+ 5

4 +5+ 6

**INPUT:
**N = 21

**OUTPUT:
**10+ 11

1+ 2+ 3+ 4+ 5+ 6

6+ 7+ 8

#### Programming Code:

/** * The class ISC06PQ1 inputs a number and prints all the series of consecutive natural numbers whose sum equals the number * @author : www.javaforschool.com * @Program Type : BlueJ Program - Java * @Question Year : ISC Practical 2006 Question 1 */ import java.io.*; class ISC06PQ1 { public static void main(String args[])throws IOException { BufferedReader br=new BufferedReader(new InputStreamReader(System.in)); System.out.print("Enter a number : "); //inputting the number int n=Integer.parseInt(br.readLine()); int sum=0,c=0,j=0; for(int i=1;i<n;i++) { sum=i; j=i+1; /* adding consecutive natural numbers till sum is less than the given number */ while(sum<n) { sum=sum+j; j++; } /* when the above while condition is false, then either the sum is equal to that number or is greater than that number So, we will be printing the series of consecutive numbers only if the sum is equal to that number Note: variable 'i' is keeping record of the first number of the series and variable 'j' is keeping record of the last number of the series */ if(sum==n) { for(int k=i;k<j;k++) { if(k==i) System.out.print(k); else System.out.print(" + "+k); } System.out.println(); } } } }

#### Output:

**1.** Enter a number : 15

1 + 2 + 3 + 4 + 5

4 + 5 + 6

7 + 8

**2.** Enter a number : 95

5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14

17 + 18 + 19 + 20 + 21

47 + 48

Sir is it ok if we convert a number into a string and then perform the tasks required in the practicals? are marks cut for that?

You can do that

THANK YOU SO MUCH SIR/MAM …..

sir/mam please upload the code for keith number please!!!!!!!!!!

See: http://www.guideforschool.com/1084299-java-program-to-check-for-keith-number/