Answer
The sequence is $10,5,0,-5,-10,-15,...$
The graph is shown below.
Work Step by Step
First term $a_1=10$
Recursive equation $a_n=a_{n-1}-5$
Use the recursive equation to find the next five terms.
$\Rightarrow a_2=a_{2-1}-5=a_1-5=10-5=5$
$\Rightarrow a_3=a_{3-1}-5=a_2-5=5-5=0$
$\Rightarrow a_4=a_{4-1}-5=a_3-5=0-5=-5$
$\Rightarrow a_5=a_{5-1}-5=a_4-5=-5-5=-10$
$\Rightarrow a_6=a_{6-1}-5=a_5-5=-10-5=-15$
Use table to organize the terms.
Plot the ordered pairs $(n,a_n)$.
