joshuaotero1215 joshuaotero1215
  • 22-10-2021
  • Mathematics
contestada

Find the 9th term of the geometric sequence 9, -27, 81, ...

Respuesta :

andrewgravley26
andrewgravley26 andrewgravley26
  • 22-10-2021

Answer:

59049

Step-by-step explanation:

nine times negative 3 8 times

Answer Link
jimrgrant1 jimrgrant1
  • 22-10-2021

Answer:

a₉ = 59049

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 9 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-27}{9}[/tex] = - 3 , then

a₉ = 9 × [tex](-3)^{8}[/tex] = 9 × 6561 = 59049

Answer Link

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