Finding sum of even terms in Fibonacci series | Oracle Java Combo
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 :
Even terms in this series are separated by two odd numbers.(Sum of two odd numbers is even)
therefore, we get the series : 0,2,8,34,144,610…..
The terms of this series are generated as :
2 * 4 + 0 = 8
8 * 4 + 2 = 34
34 * 4 + 8 = 144
144 * 4 + 34 = 610 and so on…
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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 :
Even terms in this series are separated by two odd numbers.(Sum of two odd numbers is even)
therefore, we get the series : 0,2,8,34,144,610…..
The terms of this series are generated as :
2 * 4 + 0 = 8
8 * 4 + 2 = 34
34 * 4 + 8 = 144
144 * 4 + 34 = 610 and so on…
long evenFibo() { long sum = 0; long a = 2, b = 8, c = 0; sum = sum + a + b; while(true) { c = b * 4 + a; if(c>4000000) break; sum = sum + c; a = b; b = c; System.out.println(c+" "); } return sum; }