Determine if the sequence is geometric if it is find the common ratio the 8th term and the explicit formula can someone check my work

You can check the answer by yourself after seeing the below answer.

Step-by-step explanation:

A sequence is geometric only if has common ratio i.e. whiere a1,a2 and a3 are first,second and third term of the sequence respectively.

1) Common ratio

 Explicit formula

Now using the above formula, we can find

2) Here

so this is not geometric sequence so no need to proceed further.

3) Common ratio

 Explicit formula

Now using the above formula, we can find

4) Common ratio

 Explicit formula

Now using the above formula, we can find

5)Common ratio

 Explicit formula

Now using the above formula, we can find

6)Common ratio

 Explicit formula

Now using the above formula, we can find