Question

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

Answer 1

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.

Answer 2

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 .

Explanation: