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