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Fibs

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?

Paving Paths

How many different ways can I lay 10 paving slabs, each 2 foot by 1 foot, to make a path 2 foot wide and 10 foot long from my back door into my garden, without cutting any of the paving slabs?

LOGO Challenge - Circles as Bugs

Here are some circle bugs to try to replicate with some elegant programming, plus some sequences generated elegantly in LOGO.

1 Step 2 Step

Age 11 to 14
Challenge Level

Perhaps it might be a good idea to start with a simpler example.

Making careful lists, counting and looking for a pattern are useful strategies for exploring this problem.

Once you spot a pattern you should try to work out why the pattern occurs.