Respuesta :

Answer:

The common ratio is 2.

Step-by-step explanation:

If a given set of elements represents a geometric, each pair of elements must the one and same ratio. That is:

[tex]\frac{n_{i+1}}{n_{i}} = r, \forall\,i\in \mathbb{N}[/tex], [tex]n_{i}, n_{i+1}\in N[/tex]

Where:

[tex]n_{i}[/tex] - i-th element of the given set.

[tex]N[/tex] - Set of elements.

If we know that [tex]n_{1} = 0.45[/tex], [tex]n_{2} = 0.9[/tex] and [tex]n_{3} = 1.8[/tex], then common ration is:

[tex]\frac{n_{2}}{n_{1}} = \frac{n_{3}}{n_{2}} = 2[/tex]

The common ratio is 2.