Answer
See below.
Work Step by Step
According to the exercise: $a_1=34,a_n=0.6a_{n-1}+16$.
In the long term, it will tend to a point where the amount is the same each week. Then:
$a_n=0.6a_n+16\\0.4a_n=16\\a_n=40$
This amount is $40$ ounces.