Respuesta :

Answer:

-288

Step-by-step explanation:

Geometric Sequence is the sequence in which every digit is the same multiplier of its previous digit.

The formula of Geometric Sequence is: [tex]a_{n} = a_{1}(r)^{n-1}[/tex]

Here we have given that, a₁ = -8, r = 6

So, for finding the 3rd term, n = 3

∵ [tex]a_{n} = a_{1}(r)^{n-1}[/tex]

∴ [tex]a_{3} = -8(6)^{3-1}[/tex]

⇒ a₃ = -8 × 36 = -288

Thus, third term is -288.

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