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:
[tex]a(n)=a(1)\times r^{n-1}[/tex]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:
[tex]\begin{gathered} a(11)=200\times(1.2)^{11-1} \\ \\ a(11)=200\times6.191736422 \\ \\ a(11)=1238.34 \end{gathered}[/tex]T