What is the next term in the series - 27,-18,-12,-8, ... ?

We have - 18 / - 27 = 2 / 3;

- 12 / - 18 = 2 / 3;

-8 / - 12 = 2 / 3;

Then, x / - 8 = 2 / 3;

Finally, x = - 16 / 3;

The next terms in that series is - 16 / 3.

The next term in the series is 5 1/3.

The geometric ratio is 2/3. To find r you when to divide f (2) by f (1) and then you get 2/3. Then you use a formula called the explicit rule which is f (n) = f (1) • r^n-1.

Plug in the numbers. f (5) = -27• (2/3) ^4

Then you get 5 1/3.