### Problem:

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …

By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.

This problem was originally featured on Project Euler.

### Algorithm:

Here we only need to learn how to compute Fibonacci numbers.

### Program in Java:

/*

* Copyright (C) 2015 Pankaj @ http://codeforwin.blogspot.com/

*

* This program is free software: you can redistribute it and/or modify

* it under the terms of the GNU General Public License as published by

* the Free Software Foundation, either version 3 of the License, or

* (at your option) any later version.

*

* This program is distributed in the hope that it will be useful,

* but WITHOUT ANY WARRANTY; without even the implied warranty of

* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the

* GNU General Public License for more details.

*

* You should have received a copy of the GNU General Public License

* along with this program. If not, see <http://www.gnu.org/licenses/>.

*/

/**

*

* @author Pankaj

*/

public class ProjectEuler2 {

public static void main(String args[] ){

long a,b,c, sum = 0L;

a = 0;

b = 0;

c = 1;

while(c<=4000000) {

if(c%2==0)

sum += c;

a = b;

b = c;

c = a+b;

}

System.out.println(sum);

}

}

Happy coding 😉