\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A geometric sequence is defined by its initial term \(u_0 = 1\) and a common ratio \(r = -2\).
Calculate the 12\(^{\text{th}}\) term of this sequence, \(u_{12}\).
\(u_{12}=\)