angelinaskerrit
angelinaskerrit angelinaskerrit
  • 11-03-2017
  • Mathematics
contestada

Find an equation for the nth term of the sequence.
-2, -8, -32, -128, ...

Respuesta :

apologiabiology
apologiabiology apologiabiology
  • 11-03-2017
k, so we see it is not increasing by same value, so it isn't arithmetic sequence
geometric, times 4 each time

f(n)=a1(r)^(n-1)
r=common ratio
a1=first term

so
first term is -2 and common ratio is 4
[tex]f(n)=-2(4)^{n-1}[/tex]
or simply
[tex]f(n)= (\frac{-1}{2} )(4^n)[/tex]
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