Respuesta :
The common ratio of the geometric sequence [tex]19, -76, \ 304, \ ...[/tex] is [tex](-4)[/tex] .
What is geometric sequence?
Geometric sequence also known as a geometric progression, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. i.e. [tex]r=\frac{a_{k+1} }{a_{k} }[/tex]
What is common ratio ?
Common ratio the number which is multiplied (or divided) at every stage of a geometric sequence.
We have,
Geometric sequence [tex]19, -76, \ 304, \ ...[/tex]
Here,
[tex]a_{1} =19, \ a_{2} =(-76), \ a_{3} =304[/tex]
So,
[tex]r=\frac{-76}{19}[/tex]
[tex]r=(-4)[/tex]
So,
Common ratio of the given geometric sequence is [tex](-4)[/tex] .
Hence, we can say that the common ratio of the geometric sequence [tex]19, -76, \ 304, \ ...[/tex] is [tex](-4)[/tex] .
To know more about geometric sequence click here
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