👤
Answered

Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.

Lesson 402 A Grocery Store Finds That The Number Of Boxes Of A New Cereal Sold Increases Each Week In The 1st Week 32 Boxes Of The Cereal Were Sold In The 2nd W class=

Answer :

MrRoyalgo

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

How to determine the explicit rule?

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

The number of box in the 12th week.

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:

https://brainly.com/question/6561461

Go Teaching: Other Questions