217k views
3 votes
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

The explicit rule for a sequence.

What is recursive rule for the sequence?

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! The explicit rule for a sequence-example-1

1 Answer

3 votes

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))

User Eking
by
5.6k points