Question

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

Enter the explicit rule for the geometric sequence.

120, 40, 40/3, 40/9, 40/27, ...

Answer 1

I think its 40 over 81, 40/81

Answer 2

Answer:
`\bold{a_n=120\bigg((1)/(3)\bigg)^(n-1)}`

Explanation:

`\text{A geometric sequence is represented by:}\ a_n = a_1 (r)^(n-1)\\\text{where}\ a_1\ \text{is the first term, r is the common ratio, and n is the term}`

`\text{In the given sequence,}\ a_1=120\ \text{and r} = (40)/(120)=(1)/(3)`

`\rightarrow \ a_n=120\bigg((1)/(3)\bigg)^(n-1)`