Find the general term of the sequence LaTeX:  \displaystyle 1,\frac{11}{12},\frac{121}{144},\ldots

The common ratio is LaTeX:  \displaystyle r=\frac{a_2}{a_1}=\frac{11}{12} . Using the first term and the common ratio gives LaTeX:  \displaystyle a_n=1\left( \frac{11}{12} \right)^{n-1}