Answer:
Option 1 [tex]a_n = 4(-3)^{n-1}[/tex]:
Step-by-step explanation:
The geometric sequences have the following form:
[tex]a_n = a_1(r)^{n-1}[/tex]
Where [tex]a_1[/tex] is the first term in the sequence
We know that the first term is 4
Then [tex]a_1[/tex] = 4
We also know that the second term is -12
Then [tex]a_2 = -12[/tex]
We know that in geometric sequences the relationship between consecutive terms is constant. So:
r = -12/4
r = -3
Finally the general formula of this sequence is:
[tex]a_n = 4(-3)^{n-1}[/tex] Option 1
