AmberLynne1
AmberLynne1 AmberLynne1
  • 08-04-2017
  • Mathematics
contestada

given the geometric sequence where a1=-1 and the common ratio is 7, what is the domain for n?

Respuesta :

Аноним Аноним
  • 08-04-2017
All integers where n ≥ 1
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DelcieRiveria DelcieRiveria
  • 15-04-2019

Answer:

The domain for n is n≥1, where n∈Z or all natural numbers.

Step-by-step explanation:

The first term of a geometric sequence is [tex]a_1=-1[/tex] and the common ratio is 7.

The nth term of a G.P. is

[tex]a_n=a_1r^{n-1}[/tex]

It can be written as

[tex]f(n)=a_1r^{n-1}[/tex]

[tex]f(n)=-1(7)^{n-1}[/tex]

[tex]f(n)=-(7)^{n-1}[/tex]

This function is defined for all n≥1, where n∈Z.

Therefore the domain for n is n≥1, where n∈Z or all natural numbers.

Answer Link

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