Answer:
The sequence showed is a Geometric sequence and the 12th number is 30720
Step-by-step explanation:
It's a geometric sequence because there's a ratio, which we can multiply for any number and we'll get the next.
In the case showed the ratio is 2, for example
15x2=30
30x2=60
...
Then we can apply the following formula to find the n number of the sequence:
[tex]a_{n} =a_{1} r^{n-1}[/tex]
Where
an= number we want to find
a1= first number of the sequence
r=ratio
In this case we have a ratio=2 and we want to find the 12th number:
[tex]a_{12} =15 (2)^{12-1}\\ a_{12} =15 (2)^{11}=30720\\[/tex]
