Project Euler: Problem 2

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 0 and 1, the first 12 terms will be:

0, 1, 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.


In [14]:
Fibonacci = [0, 1]
a = 1
while Fibonacci[a] < 4000000:
    Fibonacci.append(Fibonacci[a] + Fibonacci[a - 1])
    a += 1
    
Sum = 0
for item in Fibonacci:
    if item < 4000000 and item % 2 == 0:
        Sum += item

print(Sum)


4613732

In [ ]:
# This cell will be used for grading, leave it at the end of the notebook.