janicelovelylove janicelovelylove
  • 24-11-2019
  • Mathematics
contestada

Find the 8th term of the geometric sequence whose common ratio is 1/3 and whose first term is 7

Respuesta :

jimrgrant1 jimrgrant1
  • 24-11-2019

Answer:

[tex]\frac{7}{2187}[/tex]

Step-by-step explanation:

The n th term of 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, thus

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

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