claudiafer claudiafer
  • 23-10-2018
  • Mathematics
contestada

Enter the explicit rule for the geometric sequence.



3/2, 3/4, 3/8, 3/16, 3/32, …

an=

Respuesta :

tramserran
tramserran tramserran
  • 23-10-2018

Answer:  [tex]\frac{3}{2}[/tex][tex](\frac{1}{2})^{n-1}[/tex]

Step-by-step explanation:

[tex]\frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \frac{3}{16}, \frac{3}{32}, ...[/tex]

common ratio (r) = [tex]\frac{1}{2}[/tex]

first term (a₁) = [tex]\frac{3}{2}[/tex]

[tex]a_{n}[/tex] = a₁ (r)ⁿ⁻¹

   = [tex]\frac{3}{2}[/tex][tex](\frac{1}{2})^{n-1}[/tex]

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