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  • 02-07-2020
  • Mathematics
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Find the 8th term of the geometric sequence 3, -12, 48, ...

Respuesta :

Space
Space Space
  • 02-07-2020

Answer:

a(8) = -49152

Step-by-step explanation:

Step 1: Find r

-12/3 = 4

Step 2: Write geometric explicit formula

[tex]a_{n} = 3(4)^{n-1}[/tex]

Step 3: Plug in 8th term for n

[tex]a_{8} = 3(4)^{7}[/tex]

a(8) = -49152

Alternatively you can find r then multiply 3 by -4 8 times.

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