johnaragundi johnaragundi
  • 03-04-2019
  • Mathematics
contestada

Given that aₙ = (-2) (5)ⁿ⁻1 for a geometric sequence, determine the common ratio:

-5

-2

2

5

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-04-2019

Answer:

5

Step-by-step explanation:

The nth term of the geometric sequence is

[tex]a_n=(-2)(5)^{n-1}[/tex]

In general the nth term of a geometric sequence is

[tex]a_n=a_1(r)^{n-1}[/tex]

By comparism;

[tex]r=5[/tex] is the common ratio of the sequence.

Or

[tex]a_1=(-2)(5)^{1-1}=-2[/tex]

[tex]a_2=(-2)(5)^{2-1}=-10[/tex]

Common ratio is

[tex]r=\frac{-10}{-2}=5[/tex]

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