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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.
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.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.