Answer:
The common ratio r is -7.
Step-by-step explanation:
The common ratio of a geometric sequence is the division of the term [tex]a_{n+1}[/tex] by the term [tex]a_{n}[/tex].
In this problem, we have that:
[tex]a_{1} = 2, a_{2} = -14, a_{3} = 98, a_{4} = -686[/tex].
So the common ratio r is:
[tex]r = \frac{-14}{2} = \frac{98}{-14} = \frac{-686}{98} = -7[/tex]
The common ratio r is -7.
