The explicit rule for a sequence is an=9 (-5) n-1.

What is recursive rule for the sequence?

an=5 - (an-1), a1=9

an=-9 (an-1), a1=5

an=9 - (an-1), a1=5

an=-5 (an-1), a1=9

Explicit rule is a (n) = 9 * (-5) ^ (n-1)

The recursive rule is a (n) = - 5*a (n-1); a (1) = 9

The first term is 9. Each new term is found by multiplying the previous term by - 5

We can see this when we raise - 5 to a whole number power. Eg: 9 (-5) ^3 = 9 * (-5) * (-5) * (-5)

Answer: Choice D