The boxes in the grocery store is an illustration of an arithmetic sequence
The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week
<h3>How to determine the explicit rule?</h3>
The arithmetic sequence can be represented as:
32, 56, 80.......
Calculate the common difference (d)
d = 80 - 56 = 24
An arithmetic sequence is represented as
f(n) = a + (n -1) * d.
So, we have
f(n) = 32 + (n - 1) * 24
<h3>The number of box in the 12th week.</h3>
This means that n = 12.
So, we have
f(12) = 32 +(12-1)*24
Evaluate
f(12) = 296
Hence, there are 296 boxes in the 12th week
Read more about arithmetic sequence at:
brainly.com/question/6561461