Question

Find the next 3 terms in the geometric sequence? `-5, -10, -20, -40`

Answer 1

-80,-160,-320

Explanation:

The function is `2 xx n`
As n is a negative number the size of the negative number continues to increase.

Answer 2

The next `3` terms are `-80`, `-160`, and `-320` in that order.

Explanation:

From the numbers you currently have, we can set a rule of what the next numbers will be. From `-5` to `-10`, you multiplied by `2`. From `-10` to `-20`, you multiplied by `2`, and so on.

The last number you have is `-40`. So using the same rule, multiplying by `2`, we can use that to find the next `3` numbers:

`-40 * 2 = -80`

`-80 * 2 = -160`

`-160 * 2 = -320`

Therefore, the next `3` terms are `-80`, `-160`, and `-320` in that order.

Hope this helps!