Question

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

Enter a recursive rule for the geometric sequence.

6, −18, 54, −162, ...

Answer 1

Answer:
`\bold{a_1 = 6,\quad a_n=-3a_(n-1)}`

Explanation:

`\text{When given the value of the previous term, we can use the recursive formula:}\\ a_n = ra_(n-1)\ \text{where r is the common ratio, n is the term, and}\ a_(n-1)\ \text{is the previous term.}`

`\text{In the given sequence, r} = (-18)/(6)=-3`

`\rightarrow \ a_n=-3a_(n-1)`