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'Walkabout' printed from https://nrich.maths.org/
This one was a tough problem! Some of you
started to spot patterns and suggested possible rules, but the
patterns didn't continue. In fact, a general rule for this sequence
is pretty hard to write down! One very useful way of
recording the number of walks of up to eight steps was
this:
Can you see how the diagram works? Could
you continue it to find the number of ten-step walks?