Answer
The sequence is $4,9,14,19,24,29,...$
The graph is shown below.
Work Step by Step
First term $a_1=4$
Recursive equation $a_n=a_{n-1}+5$
Use the recursive equation to find the next five terms.
$\Rightarrow a_2=a_{2-1}+5=a_1+5=4+5=9$
$\Rightarrow a_3=a_{3-1}+5=a_2+5=9+5=14$
$\Rightarrow a_4=a_{4-1}+5=a_3+5=14+5=19$
$\Rightarrow a_5=a_{5-1}+5=a_4+5=19+5=24$
$\Rightarrow a_6=a_{6-1}+5=a_5+5=24+5=29$
Use table to organize the terms.
Plot the ordered pairs $(n,a_n)$.
