escorfvolinkcamieh
escorfvolinkcamieh escorfvolinkcamieh
  • 13-10-2016
  • Mathematics
contestada

Find the 15th term in the geometric sequence below.
20, 10, 5, 2.5, . . .
A.-25/4,096

B.-5/4,096

C.5/4,096

D.25/4,096

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 14-10-2016
geo sequence
[tex]a_n=a_1r^{n-1}[/tex]
an=nth term
a1=first term
r=common ratio
n=which term

10/20=1/2
r=1/2
20=a1

[tex]a_{15}=20(1/2)^{15-1}[/tex]=
[tex]a_{15}=20(1/2)^{14}[/tex]=
[tex]a_{15}=20( \frac{1}{16384} )[/tex]=
[tex]a_{15}= \frac{20}{16384} [/tex]=
[tex]a_{15}= \frac{5}{4096} [/tex]




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