angryalpaca angryalpaca
  • 10-12-2020
  • Mathematics
contestada

Complete the recursive formula of the geometric sequence -0.6, 3, -15, 75, ...

Respuesta :

ramalmlki
ramalmlki ramalmlki
  • 10-12-2020

Answer:

[tex]\boxed{Un = 3(-5)^{n - 2}}[/tex]

Step-by-step explanation:

We know that

a = -0,6 = [tex]-\frac{3}{5}[/tex] and r = [tex]\frac{3}{-0,6}[/tex] = -5

.

So

[tex]Un = ar^{n - 1}[/tex]

[tex]Un = (-\frac{3}{5} )(-5)^{n - 1}[/tex]

[tex]Un = (3)(-5)^{-1}(-5)^{n - 1}[/tex]

[tex]Un = 3(-5)^{n - 2}[/tex]

Answer Link
JhSparrow JhSparrow
  • 10-12-2020

Answer:

use this form 》Un = ar^(n - 1)

Answer Link

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