Answer
The sequence is $0.7,7,70,700,7000,70000,...$
The graph is shown below.
Work Step by Step
First term $a_1=0.7$
Recursive equation $a_n=10a_{n-1}$
Use the recursive equation to find the next five terms.
$\Rightarrow a_2=10a_{2-1}=10a_{1}=10(0.7)=7$
$\Rightarrow a_3=10a_{3-1}=10a_{2}=10(7)=70$
$\Rightarrow a_4=10a_{4-1}=10a_{3}=10(70)=700$
$\Rightarrow a_5=10a_{5-1}=10a_{4}=10(700)=7000$
$\Rightarrow a_6=10a_{6-1}=10a_{5}=10(7000)=70000$
Use table to organize the terms.
Plot the ordered pairs $(n,a_n)$.
