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, ...
By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms.
C++:
#include <iostream> using namespace std; const long N = 4000000; int main() { long f1 = 1, f2 = 2, f3; long ans = f2; for(;;) { f3 = f1 + f2; if(f3 > N) break; if(f3 % 2 == 0) { ans += f3; } f1 = f2; f2 = f3; } cout << ans << endl; return 0; }
Python:
ls=[1,1] ans=0 while ls[-1] <4000000: ls.append(ls[-1]+ls[-2]) if (ls[-1]&1) == 0: ans+=ls[-1] print(ans)
Run results:
4613732