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'Fibonacci Factors' printed from http://nrich.maths.org/
In the Fibonacci sequence each term is the sum of the two terms
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...
Where do the even numbers come in the sequence?
Is there a pattern? Why?
Which Fibonacci numbers are divisible by 3?
Prove general results for the occurrence of even Fibonacci numbers
in the sequence and for the occurrence of multiples of 3.