Answer
The sequence is $8,12,18,27,40.5,60.75,...$
The graph is shown below.
Work Step by Step
First term $a_1=8$
Recursive equation $a_n=1.5a_{n-1}$
Use the recursive equation to find the next five terms.
$\Rightarrow a_2=1.5a_{2-1}=1.5a_1=1.5(8)=12$
$\Rightarrow a_3=1.5a_{3-1}=1.5a_2=1.5(12)=18$
$\Rightarrow a_4=1.5a_{4-1}=1.5a_3=1.5(18)=27$
$\Rightarrow a_5=1.5a_{5-1}=1.5a_4=1.5(27)=40.5$
$\Rightarrow a_6=1.5a_{6-1}=1.5a_5=1.5(40.5)=60.75$
Use table to organize the terms.
Plot the ordered pairs $(n,a_n)$.
