Question

What is the common ratio for the geometric sequence? −15,−9,−275,−8125,..?

Answer 1

The common ration to this problem is 3/5

Answer 2

A geometric sequence is defined by the property that the ratio of two consecutive terms is always constants like this:
`(u_(n+1))/(u_n)=r`
Taking any two consecutive terms from the sequence e get:

`(-9)/(-15) \\eq (-275)/(-9) \text{ since } (3)/(5) \\eq (-275)/(-9)`

The sequence is not a geometric sequence