Question

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

Answer 1

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

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.