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30 August, 15:01

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

+5
Answers (1)
  1. 30 August, 16:25
    0
    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.
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