Question

What is r, the common ratio, in the geometric sequence 2, −14, 98, −686

Answer 1

Answer:

The common ratio r is -7.

Step-by-step explanation:

The common ratio of a geometric sequence is the division of the term $a_{n+1}$ by the term $a_{n}$.

In this problem, we have that:

$a_{1} = 2, a_{2} = -14, a_{3} = 98, a_{4} = -686$.

So the common ratio r is:

$r = \frac{-14}{2} = \frac{98}{-14} = \frac{-686}{98} = -7$

The common ratio r is -7.

Answer 2

To find r, divide any number into the next number.
98/(-14) = -7