Question

Tamika is stacking boxes of tissue for a store display. Each row of

tissues has 2 fewer boxes than the row below. The first row has 23 boxes of tissues.


a. Write a function to represent the arithmetic sequence.


b. How many boxes will there be in the tenth row?

Answer 1

Answer:

There are 5 boxes on the tenth row.

Step-by-step explanation:

We are given the following information in the question:

Each row of  tissues has 2 fewer boxes than the row below.

The first row has 23 boxes of tissues.

23, 21, 19, 17,...

a) Let f(x) be the function that represent the arithmetic sequence.

Then,

$f(x) = x-2$, where x is the number of boxes in previous rows.

b) Comparing the given sequence to an arithmetic progression, we have

First term,a = 10

Common difference,d = -2

$a_n = a + (n-1)d\\a_{10} = 23 + (10-1)(-2) = 23-18 =5$

Thus, there are 5 boxes on the tenth row.