The tournament starts with 64 teams playing 32 games and continue until there is only one team left.

Question

Come up with a formula for how many teams are left after x rounds.

Ok so far I have
y= 64-x-32
However, I know that won't work. I'm just not really sure what to do with the 32.

Answer 1

64 * (1/2)^x = 1
2^x = 64
x = 6

It goes like this
64/2 = 32

32/2 = 16

16/2 = 8

8/2 = 4

4/2 = 2

2/2 = 1
so
after n rounds
teams left = 64 * (1/2)^n