Tamika is stacking boxes of tissue for a store display. Each row oftissues 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?
Accepted Solution
A:
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,[tex]f(x) = x-2[/tex], where x is the number of boxes in previous rows.b) Comparing the given sequence to an arithmetic progression, we have First term,a = 10Common difference,d = -2[tex]a_n = a + (n-1)d\\a_{10} = 23 + (10-1)(-2) = 23-18 =5[/tex]Thus, there are 5 boxes on the tenth row.