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Favourite

### Fibonacci Surprises

Play around with the Fibonacci sequence and discover some surprising results!

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Fibonacci Surprises

Favourite

Play around with the Fibonacci sequence and discover some surprising results!

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Fibs

Favourite

The well known Fibonacci sequence is 1 ,1, 2, 3, 5, 8, 13, 21....
How many Fibonacci sequences can you find containing the number 196
as one of the terms?

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1 Step 2 Step

Favourite

Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

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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!

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Sheep Talk

In sheep talk the only letters used are B and A. A sequence of
words is formed by following certain rules. What do you notice when
you count the letters in each word?

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Golden Fractions

Find the link between a sequence of continued fractions and the
ratio of succesive Fibonacci numbers.

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Fibonacci Fashion

What have Fibonacci numbers to do with solutions of the quadratic
equation x^2 - x - 1 = 0 ?

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Room Doubling

Investigate the different ways you could split up these rooms so
that you have double the number.

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Plus or Minus

Make and prove a conjecture about the value of the product of the Fibonacci numbers $F_{n+1}F_{n-1}$.