Question Author
OK, I'll give you the sequence and see if you can work out the next term. The number of regions doesn't go
2, 4, 8, 16, 32, 64, 128, 256. . .
as you might expect.
It actually goes
2, 4, 8, 16, 31, 57, 99, 163, . . .
but there's still a mathematical pattern, so it's possible to work out what comes after 163. Any suggestions?
BTW: This is from the first maths lesson I did each year with Year 8 (12yo) pupils, so it shouldn't be too hard ;-)