Bharbie
Bharbie Bharbie
  • 07-03-2017
  • Mathematics
contestada

For the following geometric sequence find the explicit formula. {12, -6, 3, ...}

Respuesta :

siya17
siya17 siya17
  • 07-03-2017
12(-1/2) to the exponent n-1

Answer Link
slicergiza slicergiza
  • 24-07-2019

Answer:

[tex]a_n=12 (-0.5)^{n-1}[/tex]

Step-by-step explanation:

Given geometric sequence ,

12, -6, 3, ...........

First term, a = 12,

Common ratio,

[tex]r = \frac{-6}{12}=-0.5[/tex]

Since, the explicit formula of a Geometric sequence is,

[tex]a_n=ar^{n-1}[/tex]

Hence, the explicit formula of the sequence is,

[tex]a_n=12 (-0.5)^{n-1}[/tex]

Answer Link

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