Find the general term of the sequence LaTeX: \displaystyle -5,- \frac{3}{2},- \frac{9}{20},\ldots

The common ratio is LaTeX: \displaystyle r=\frac{a_2}{a_1}=\frac{3}{10} . Using the first term and the common ratio gives LaTeX: \displaystyle a_n=-5\left( \frac{3}{10} \right)^{n-1}