Problem 2 is below:
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, ... Find the sum of all the even-valued terms in the sequence which do not exceed four million." (Project Euler Problem #2)
Tests:
module Problem2Tests
open NUnit.Framework
[<TestFixture>]
type Problem2__When_finding_sum_of_even_valued_terms_in_the_fibonacci_sequence_up_to_89 () =
[<Test>]
member this.should_return_sum_of_44 () =
let result = Problem2.FindSum 89
Assert.AreEqual(44, result)
[<TestFixture>]
type Problem2__When_finding_sum_of_even_valued_terms_in_the_fibonacci_sequence_below_4_million () =
[<Test>]
member this.should_return_sum_of_4613732 () =
let result = Problem2.FindSum 4000000
Assert.AreEqual(4613732, result)
Code:module Problem2
let FindSum max =
let rec getFibonacciSumForEvens lastValue currentValue accumulator =
match lastValue + currentValue with
| sum when sum >= max -> accumulator
| sum when sum % 2 = 0 ->
getFibonacciSumForEvens currentValue sum (accumulator + sum)
| sum -> getFibonacciSumForEvens currentValue sum accumulator
getFibonacciSumForEvens 0 1 0
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