Answer
The sequence is $0,2,4,6,8,10,...$
The graph is shown below.
Work Step by Step
First term $a_1=0$
Recursive equation $a_n=a_{n-1}+2$
Use the recursive equation to find the next five terms.
$\Rightarrow a_2=a_{2-1}+2=a_1+2=0+2=2$
$\Rightarrow a_3=a_{3-1}+2=a_2+2=2+2=4$
$\Rightarrow a_4=a_{4-1}+2=a_3+2=4+2=6$
$\Rightarrow a_5=a_{5-1}+2=a_4+2=6+2=8$
$\Rightarrow a_6=a_{6-1}+2=a_5+2=8+2=10$
Use table to organize the terms.
Plot the ordered pairs $(n,a_n)$.
