Question

How do you identify if a sequence is geometric and how do you find the common ratio?

Answer 1

I think you can divide two adjacent terms to find the common ratio. So try it with two different pairs will help in identifying if it's geo.

Answer 2

do they all have to have the same quotient to be geometric?

Answer 3

For example:
1,2,4,8,16
That is a geométric sequence because the ratio is ×2.
The difference is that arithmetic sequence can only add or substract and in a geo you can multiply or divide

Answer 4

oh, okay. Thank you

Answer 5

yes, if they don't they don't share a common ratio