jetblackcap jetblackcap
  • 02-06-2019
  • Mathematics
contestada

Please help me out please

Please help me out please class=

Respuesta :

jimrgrant1 jimrgrant1
  • 02-06-2019

Answer:

[tex]\frac{8}{81}[/tex]

Step-by-step explanation:

Since the sequence is geometric there is a common ratio r between consecutive terms.

r = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex]

  = [tex]\frac{1}{3}[/tex] × [tex]\frac{2}{1}[/tex] = [tex]\frac{2}{3}[/tex]

Multiplying [tex]\frac{4}{27}[/tex] by r gives the next term in the sequence

[tex]\frac{4}{27}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{8}{81}[/tex]

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