\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A geometric sequence is defined by its first term \(u_1 = 100\) and a common ratio \(r = 1.1\).
Calculate the 15\(^{\text{th}}\) term of this sequence, \(u_{15}\). (Round your answer to two decimal places)
\(u_{15}\approx\)