Question

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

Answer 1

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*(-2)^(13-1) \\ =3*(-2)^(12) \\ =3*4096 \\ =12,288 \end{gathered}`

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

Option C is correct.