Answer:
C. 12,288
Explanation:
Given the explicit formula of a given geometric sequence:
[tex]a_n=3(-2)^{n-1}[/tex]
To find the 13th term, substitute n for 13:
[tex]\begin{gathered} a_{13}=3\times(-2)^{13-1} \\ =3\times(-2)^{12} \\ =3\times4096 \\ =12,288 \end{gathered}[/tex]
The 13th term of the geometric sequence is 12,288.
Option C is correct.
