Question

What is the 13th term of the geometric sequence with this explicit formula?an-3-(-2)(n-1)

Answer 1

Answer:

C. 12,288

Explanation:

Given the explicit formula of a given geometric sequence:

$a_n=3(-2)^{n-1}$

To find the 13th term, substitute n for 13:

$\begin{gathered} a_{13}=3\times(-2)^{13-1} \\ =3\times(-2)^{12} \\ =3\times4096 \\ =12,288 \end{gathered}$

The 13th term of the geometric sequence is 12,288.

Option C is correct.