Answer
The sequence is $-7.5,-5,-2.5,0,2.5,5,...$
The graph is shown below.
Work Step by Step
First term $a_1=-7.5$
Recursive equation $a_n=a_{n-1}+2.5$
Use the recursive equation to find the next five terms.
$\Rightarrow a_2=a_{2-1}+2.5=a_1+2.5=-7.5+2.5=-5$
$\Rightarrow a_3=a_{3-1}+2.5=a_2+2.5=-5+2.5=-2.5$
$\Rightarrow a_4=a_{4-1}+2.5=a_3+2.5=-2.5+2.5=0$
$\Rightarrow a_5=a_{5-1}+2.5=a_4+2.5=0+2.5=2.5$
$\Rightarrow a_6=a_{6-1}+2.5=a_5+2.5=2.5+2.5=5$
Use table to organize the terms.
Plot the ordered pairs $(n,a_n)$.
