Respuesta :

siya17
12(-1/2) to the exponent n-1

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]