devyns21oyfqtq
devyns21oyfqtq devyns21oyfqtq
  • 01-06-2019
  • Mathematics
contestada

Find the eighth term of the
geometric sequence, given the
first term and common ratio.
a1=6 and r=-1/3


PLEASE HELP

Respuesta :

jimrgrant1 jimrgrant1
  • 01-06-2019

Answer:

see explanation

Step-by-step explanation:

The n th 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, hence

[tex]a_{8}[/tex] = 6 × [tex](-1/3)^{7}[/tex] = 6 × - [tex]\frac{1}{3^{7} }[/tex] = 6 × - [tex]\frac{1}{2187}[/tex] = - [tex]\frac{2}{729}[/tex]

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