Sequences

The question… If I add another dot and join it to all the previous dots, into how many regions will it split the circle?

Powerpoint: sequences A dots and regions

I haven’t fully decided where is the best place to deploy this nugget: I’ve currently placed it in my plans along with my lessons on sequences, but I also bring it out whenever I want to emphasise the importance of proof.

If you enjoyed this, you should look up the Perrin Sequence, which has an even more impressive ‘pattern’.