. A large cake is in a room. The first person who comes in takes 1/3 of the cake. Then a second person takes 1/3 of what is left. Then a third person takes 1/3 of what is left. And so on. a) Is there still cake left after three people each take some cake? Why or why not?
b) Complete the table for C(n), the fraction of the original cake left after n people take some.
n C(n)
0
1 2/3
2
3
4