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Math and Logic

Even Fibonacci

We can build the Fibonacci sequence by starting with a 00 and a 11 and then applying a rule: each term of the sequence is the sum of the previous two terms.

That makes the third term 0+1=1,0 + 1 = 1, the fourth term 1+1=2,1 + 1 = 2, the fifth 1+2=3,1 + 2 = 3, and so on:

0,1,1,2,3,5,8,13,21, 0, 1, 1, 2, 3, 5, 8, 13, 21, \ldots

The terms of the sequence grow larger and larger, but are there any hidden patterns in it? Keep reading to see one, or jump to the challenge for a related question.

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