Respuesta :

Answer:

next three terms of the sequence is

-9, -27, -81...............

Step-by-step explanation:

Given that a1=-3

[tex]a_n=3a_{n-1}[/tex]

first term is -3, lets find out next term

To find next term we take n=2

n=2, [tex]a_2=3a_{1}=3(-3)=-9[/tex]

n=3,[tex]a_3=3a_{2}=3(-9)=-27[/tex]

n=4, [tex]a_4=3a_{3}=3(-27)=-81[/tex]

So next three terms of the sequence is

-9, -27, -81...............

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