Question

Last week, AT&T pre-sold 200 of their new tablets. Today they officially released the product and they expect to sell an average of 20% more this week and each week thereafter. How many will they sell in the 11th week. Write the explicit equation that represents this problem and use it to find the solution,

Answer 1

from this quetion, we can deduce the following:

Initial value = 200

The company expects to seel an average of 20% more this week and each week thereafter.

Let's find how many they will sell in the 11th week.

Here, we are to solve for the 11th term.

Apply the formula:

`a(n)=a(1)* r^(n-1)`

Where:

a1 is the initial value = 200

r is the common ratio = 1 + 20% = 1 + 0.20 = 1.20

n is the time = 11

Hence, we have the equation below:

`\begin{gathered} a(11)=200*(1.2)^(11-1) \\ \\ a(11)=200*6.191736422 \\ \\ a(11)=1238.34 \end{gathered}`

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