Plz help me solve this in Description thank you

Question

Victor is in the hospital for 9 days. Each day at the same time he receives 150 mL of medication. His body can metabolize 80% of the medication each day. Determine how much medication is left in his body at the end of the ninth day.

Answer 1

The recursive relation is:

 

  
Xn+1 = 0.2*(Xn + 150)
X0 = 0

X1 = 0.2*(0+150) = 150*0.2 = 30

X2 = 0.2* (30+150) = 0.2*180 = 36

etc

 

Here's the table

 

 

Day     Start       Given         Absorbed         Stop
0          0            150              120                30
1          30          150              144                36
2          36          150              148.8             37.2
3          37.2       150              149.76           37.44
4          37.44     150              149.952          37.488
5          37.488   150              149.9904         37.4976
6          37.4976 150              149.99808       37.49952
7        37.49952 150              149.999616      37.499904
8       37.499904 150             149.9999232    37.4999808