smlf0525
smlf0525 smlf0525
  • 21-08-2021
  • Mathematics
contestada

Find the 14th term of the geometric sequence 2, 4, 8, ...2,4,8,...

Respuesta :

hhelsinki
hhelsinki hhelsinki
  • 21-08-2021

Answer:

14th term is 16,384

Step-by-step explanation:

I. When [tex]a_{n} = a_{1}(r^{n-1} )[/tex]

If n = 14, a = 2 and r = 2

         [tex]a_{14} = 2(2^{14-1} )[/tex]

               = 2([tex]2^{13}[/tex])

         [tex]a_{14}[/tex]      = 16,384

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