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Even Fibonacci Numbers

 Published on Friday, 19th October 2001, 06:00 pm; Solved by 791465;
Difficulty rating: 5%

Problem 2

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: $$1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \dots$$

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