kennedimlowe5 kennedimlowe5
  • 30-08-2021
  • Mathematics
contestada

What is the next term of the geometric sequence?
-1/7,4/7,-16/7

Respuesta :

jimrgrant1 jimrgrant1
  • 30-08-2021

Answer:

[tex]\frac{48}{7}[/tex]

Step-by-step explanation:

The common ratio r is

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{\frac{4}{7} }{-\frac{1}{7} }[/tex] = - 4

To obtain the next term multiply the previous term by - 4 , that is

next term = - [tex]\frac{16}{7}[/tex] × - 4 = [tex]\frac{48}{7}[/tex]

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