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)

Choice D

The answer for you question is b