Answer:
1.5
Step-by-step explanation:
The common ratio if there exists one can be found by choosing a term and dividing by its previous term
So does 12/8=18/12=27/18? Put each into the calculator. If they are equal fractions then this sequence is geometric and has a commom ratio.
Each of the fractions are equal to 1.5.
Therefore the commom ratio is 1.5.
Answer:
[tex]r=\frac{3}{2}[/tex]
Step-by-step explanation:
Since Natalia is about to write a Recursive Formula, i.e. a Formula that write this sequence in terms of a function. She'll need the common ratio. To find this, since it is clearly not an Arithmetic Sequence, but a Geometric one let's divide one consequente term over the antecedent term.
[tex]\frac{12}{8}=\frac{18}{12}=\frac{27}{18}=\frac{3}{2}[/tex]
Recursive formula:
[tex]f(n)=f(n-1)*\frac{3}{2}[/tex]
