Tuesday, January 8, 2013

Problem 2 : Even Fibonacci numbers

Q) 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.

Solution: 
This gives the solution In java:
public class Prob2 {

 public static void main(String[] args) {
  int a = 1 ; 
  int b = 2 ; 
  int c;
  int sum = 2 ; 
  while ( b < 4000000)
  {
  c = a + b;
  a = b ; 
  b = c;
  if(c % 2 == 0)
   sum += c;
  }
  
  System.out.println(sum);

 }

}

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