Copyright © University of Cambridge. All rights reserved.

'Walkabout' printed from https://nrich.maths.org/

Show menu

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?