Question

A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week, only 20 boxes of the cereal were sold. In the 2nd week, 53 boxes of the cereal were sold and in the 3rd week 86 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence.
what is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n?

Use this rule to calculate how many boxes of cereal will be sold during the 7th week.

Answer 1

Answer:

218 boxes of cereal

Step-by-step explanation:

To get the explicit rule, find the difference between each week:

53-20 = 33

86-53 = 33

The explicit rule is:

aₓ = 33x - 13  

or

f(x) = 33x - 13

If you use this rule, you can plug in 7 for x and you get:

218 boxes of cereal