Answer
$-8192$
Work Step by Step
The general formula to find the nth term of a Geometric sequence is given as: $ a_{n}=a_1r^{n-1}$
We are given that $ a_1=4, r=-2; n=12$
Now, $ a_{12}=4 \times (-2)^{12-1}=4 (-2)^{11}$
$\implies a_{12}=-8192$