roarke725 roarke725
  • 14-06-2022
  • Mathematics
contestada

Find the 7th term of the geometric sequence whose common ratio is 2/3 and whose first term is 4
.

Respuesta :

rdacoder
rdacoder rdacoder
  • 14-06-2022

Answer:

[tex]a_{7}=\frac{256}{729}[/tex]   or   [tex]a_{7}=0.35[/tex]

Step-by-step explanation:

[tex]a_{n} =a_{1}* r^{n-1}[/tex]

[tex]a_{7}=4*\frac{2}{3}^{7-1}[/tex]

[tex]a_{7}=4*\frac{2}{3}^{6}[/tex]

[tex]a_{7}=4*\frac{64}{729}[/tex]

[tex]a_{7}=\frac{256}{729}[/tex]

or

[tex]a_{7}=0.35[/tex]

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