Geometric sequence: 1/2,1/3,2/9,4/27,8/? i don't know the bottom number but the top number is 8☹️

Hello,

In this geometric sequence, the ratio is (1/3)/(1/2)=(1*2)/(3*1)=2/3

1/2*2/3=2/6=1/3
1/3*2/3=2/9
2/9*2/3=4/27
4/27*2/3=8/81

If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8