The explicit rule for a sequence is an=9(−5)n−1 .What is recursive rule for the sequence?an=5−(an−1),a1=9an=−9(an−1),a1=5an=9−(an−1),a1=5an=−5(an−1),a1=9
Accepted Solution
A:
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)