Friday, September 13, 2013

Problem 2 - Even Fibonacci Numbers

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.
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fib=[1,2]
i=1
j=2
l=0
while i<4000000 and j<4000000:
 i=i+j
 j=i+j
 fib.append(i)
 fib.append(j)
 if i%2 == 0 and i<4000000:
  l=l+i
 if j%2 == 0 and j<4000000:
  l=l+j

print l+2