The first three terms of a geometric sequence are as follows.

-4, - 12, - 36

Find the next two terms of this sequence.

Give exact values (not decimal approximations).

-4, - 12, - 36, 1:0

:

:

x

5

The next two terms for the geometric sequence are - 108 and - 324.

Step-by-step explanation:

1. Let's find the next two terms for the geometric sequence which first three terms are as follows:

- 4, 12, - 36 ...

Aₓ = Aₓ₋₁ * 3; A₁ = - 4

A₁ = - 4

A₂ = A₁ * 3 = - 4 * 3 = - 12

A₃ = A₂ * 3 = - 12 * 3 = - 36

A₄ = A₃ * 3 = - 36 * 3 = - 108

A₅ = A₄ * 3 = - 108 * 3 = - 324

The next two terms for the geometric sequence are - 108 and - 324.