Hi SJ
We can plug in the values to find the recursive rule.
We plug in n = 1.
\(a_1=9(-5)^{1-1}=9\)
We imediately eliminate b and c.
We plug in n = 2
\(a_2=9(-5)^{2-1}=-45\)
We can see that only d works.
That is your final answer,
I hope this helped,
Gavin