Answer
The sequence is $0,-8,-16,-24,-32,-40,...$
The graph is shown below.
Work Step by Step
First term $a_1=0$
Recursive equation $a_n=a_{n-1}-8$
Use the recursive equation to find the next five terms.
$\Rightarrow a_2=a_{2-1}-8=a_1-8=0-8=-8$
$\Rightarrow a_3=a_{3-1}-8=a_2-8=-8-8=-16$
$\Rightarrow a_4=a_{4-1}-8=a_3-8=-16-8=-24$
$\Rightarrow a_5=a_{5-1}-8=a_4-8=-24-8=-32$
$\Rightarrow a_6=a_{6-1}-8=a_5-8=-32-8=-40$
Use table to organize the terms.
Plot the ordered pairs $(n,a_n)$.
