Find the general term of the sequence LaTeX: \displaystyle 9,\frac{99}{4},\frac{1089}{16},\ldots

The common ratio is LaTeX: \displaystyle r=\frac{a_2}{a_1}=\frac{11}{4} . Using the first term and the common ratio gives LaTeX: \displaystyle a_n=9\left( \frac{11}{4} \right)^{n-1}