Question

How do you find the common ratio for `2,-6,18,-54,162,...`?

Answer 1

Common ratio `=-3`.

Explanation:

Let the seq. be `t_1,t_2,t_3,t_4,t_5,..................`

Then, common ratio`=t_2/t_1=-6/2=-3; t_3/t_2=18/-6=-3`

In general, common ratio`=t_(n+1)/t_n, where, n in NN`.