Respuesta :

Answer:

  • [tex]45927/4096[/tex]

Step-by-step explanation:

Given is the geometric series, because the ratio of consecutive terms is common:

  • [tex]r = 84/112 = 63/84 = 3/4[/tex]

The first term is 112.

So the nth term is:

  • [tex]t_n = t_1*r^{n-1}[/tex]

The 9th term is:

  • [tex]t_9 = 112*(3/4)^8=45927/4096[/tex]