Respuesta :
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]