For which values of n is the Fibonacci number fn even? Which Fibonnaci numbers are divisible by 3?
Investigate Farey sequences of ratios of Fibonacci numbers.
What have Fibonacci numbers to do with solutions of the quadratic equation x^2 - x - 1 = 0 ?
What have Fibonacci numbers got to do with Pythagorean triples?
Make and prove a conjecture about the value of the product of the Fibonacci numbers $F_{n+1}F_{n-1}$.
Draw whirling squares and see how Fibonacci sequences and golden rectangles are connected.
An iterative method for finding the value of the Golden Ratio with explanations of how this involves the ratios of Fibonacci numbers and continued fractions.
An article introducing continued fractions with some simple puzzles for the reader.
