Answer:
f(n) = f(n − 1) ⋅ 0.6 + 20, n > 0
Step-by-step explanation:
Each week 40% of the olive oil bottles were sold. This means, each week 60% of the bottles were left. In addition to these, 20 new bottles arrived in shipments.
So, every week the number of shipments was:
60% of the shipments of previous week + 20
In equation form this can written as:
Shipments in a week = 60% of shipments of previous week + 20
For, nth week we can re-write this equation as:
f(n) = 60% of f(n - 1) + 20
or
f(n) = f(n - 1) ⋅ 0.60 + 20
For example for first week, replace n by 1 to find the number of shipments in week 1 and same goes for next weeks.
