Find the general term of the sequence LaTeX:  \displaystyle 4,- \frac{44}{15},\frac{484}{225},\ldots

The common ratio is LaTeX:  \displaystyle r=\frac{a_2}{a_1}=- \frac{11}{15} . Using the first term and the common ratio gives LaTeX:  \displaystyle a_n=4\left( - \frac{11}{15} \right)^{n-1}