arieljimenez809 arieljimenez809
  • 28-06-2020
  • Mathematics
contestada

Which of the following is the rule for the geometric
sequence 1, 3. 9. 27, ...?
an = 3.39-1
an = 3.31
an = 1.32
an = 1.39-1

Respuesta :

jimrgrant1 jimrgrant1
  • 28-06-2020

Answer:

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

Step-by-step explanation:

The n th term rule for a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = 1 and r = 3 ÷ 1 = 3 , thus

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

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