Answer:
Last choice. d.
Step-by-step explanation:
We are given the first term and the sixth term.
The first term is [tex]a_1=-9[/tex].
The sixth them is [tex]a_6=a_1r^5=-9216[/tex].
Let's solve for the common ratio, r.
[tex]-9r^5=-9216[/tex]
Divide both sides by -9:
[tex]r^5=1024[/tex]
Take the fifth root of both sides:
[tex]r=1024^{\frac{1}{5}}[/tex]
[tex]r=4[/tex]
So the common ratio is 4.
[tex]a_1=-9[/tex]
[tex]a_2=-9(4)=-36[/tex]
[tex]a_3=-9(4)^2=-144[/tex]
[tex]a_4=-9(4)^3=-576[/tex]
[tex]a_5=-9(4)^4=-2304[/tex]
[tex]a_6=-9(4)^5=-9216[/tex]
