Question

Find the common ratio of the geometric sequence:6, -2, 2/3, ...

Answer 1

We have a geometric sequence: 6, -2, 2/3...

If we divide the second term by the first, we have (-2)/6=-1/3.

If we divide the third term by the second we have:

$d=\dfrac{a_3}{a_2}=\frac{\frac{2}{3}}{-2}=\frac{-1}{3}$

Then, we know that the common sequence of this sequence is d=-1/3.