Question

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The explicit rule for a sequence.

What is recursive rule for the sequence?

Answer 1

Answer:
`\bold{(B)\ a_n=-5(a_(n-1))\quad a_1=9}`

Explanation:

The explicit rule for a geometric sequence is:
`a_n=a_1(r)^(n-1)\ \text{where}\ a_1\ \text{is the first term and r is the ratio}`

The given explicit rule shows that
`a_1=9\ \text{and}\ r=-5`

The recursive rule for a geometric sequence is:
`a_n=r(a_(n-1))`

So, the recursive rule is:
`a_n=-5(a_(n-1))`