type the correct answer in the box. a new clothing store uses advertising through social media to draw…

type the correct answer in the box. a new clothing store uses advertising through social media to draw customers and increase the number of transactions each month. the number of transactions, f(n), for n months is shown in the table below. month, n no. of transactions, f(n) 1 10 2 20 3 40 4 80 if the number of transactions per month continues to increase in this way, fill in the values for a and r to create the function that describes this situation. f(n)=a(r)^(n - 1)

type the correct answer in the box. a new clothing store uses advertising through social media to draw customers and increase the number of transactions each month. the number of transactions, f(n), for n months is shown in the table below. month, n no. of transactions, f(n) 1 10 2 20 3 40 4 80 if the number of transactions per month continues to increase in this way, fill in the values for a and r to create the function that describes this situation. f(n)=a(r)^(n - 1)

Answer

Explanation:

Step1: Identify the first - term value

The first - term of a geometric sequence is the value of the function when (n = 1). From the table, when (n=1), (f(1)=10), so (a = 10).

Step2: Calculate the common ratio

The common ratio (r) of a geometric sequence is found by dividing a term by its previous term. For example, (\frac{f(2)}{f(1)}=\frac{20}{10}=2), (\frac{f(3)}{f(2)}=\frac{40}{20}=2), (\frac{f(4)}{f(3)}=\frac{80}{40}=2). So (r = 2).

Answer:

(a = 10), (r = 2)