TimN4225 TimN4225
  • 26-01-2022
  • Mathematics
contestada

Find the 10th term of the geometric sequence 3,15,75,…

Respuesta :

goddessboi goddessboi
  • 26-01-2022

Answer:

5859375

Step-by-step explanation:

We can write the geometric sequence as [tex]a_n=3(5)^{n-1}[/tex] and use that to find the 10th term:

[tex]a_n=3(5)^{n-1}[/tex]

[tex]a_{10}=3(5)^{10-1}[/tex]

[tex]a_{10}=3(5)^{9}[/tex]

[tex]a_{10}=3(1953125)[/tex]

[tex]a_{10}=5859375[/tex]

Therefore, the 10th term of the geometric sequence is 5859375

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