Answer:
Please see the attachment for graph.
Step-by-step explanation:
Given: We are given geometric sequence.
[tex]\dfrac{1}{32}, \dfrac{1}{8}, \dfrac{1}{2}, 2, 8[/tex]
We need to graph the geometric sequence.
First we find the nth term of GP or general term.
[tex]a_n=ar^{n-1}[/tex]
where, [tex]a=\dfrac{1}{32}[/tex] , r=4
[tex]a_n=\dfrac{1}{32}(4)^{n-1}[/tex]
Now we write as function n-> x
[tex]f(x)=\dfrac{1}{32}(4)^{x-1}[/tex]
We make table x and y
x y
1 [tex]\dfrac{1}{32}[/tex]
2 [tex]\dfrac{1}{8}[/tex]
3 [tex]\dfrac{1}{2}[/tex]
4 [tex]2[/tex]
5 [tex]8[/tex]
Plot the point on graph and join the points
Please see the attachment.
