### 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 ;)

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