Answer:
[tex]\left \{ {{a_1=12} \atop{a_n=a_{n-1}*(33)}} \right.[/tex]
Step-by-step explanation:
For a geometric sequence the explicit formula has the following formula:
[tex]a_n=a_1(r)^{n-1}[/tex]
Where [tex]a_1[/tex] is the first term in the sequence, and r is the common ratio and [tex]a_n[/tex] is the nth term of the sequence:
In this case we have the following sequence
[tex]a_n = 12(33)^{n-1}[/tex]
Then:
[tex]a_1=12\\r=33[/tex]
The recursive formula for the geometric sequence has the following formula
[tex]\left \{ {{a_1} \atop {a_n=a_1*r}} \right.[/tex]
Where [tex]a_1[/tex] is the first term in the sequence, and r is the common ratio and [tex]a_n[/tex] is the nth term of the sequence:
In this case the recursive formula is:
[tex]\left \{ {{a_1=12} \atop{a_n=a_{n-1}*(33)}} \right.[/tex]
