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Continued Fractions I

An article introducing continued fractions with some simple puzzles for the reader.

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Fibonacci Factors

For which values of n is the Fibonacci number fn even? Which Fibonnaci numbers are divisible by 3?

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Golden Fibs

When is a Fibonacci sequence also a geometric sequence? When the ratio of successive terms is the golden ratio!

Golden Powers

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

You will probably need to experiment a little to try to form a conjecture for the form of the coefficients. You can then use induction to try to prove your conjecture.