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'Fibonacci Factors' printed from https://nrich.maths.org/
In the Fibonacci sequence each term is the sum of the two terms
before it:
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.