# What is the 11th term of the geometric sequence –1, 3, –9, …?

Nov 9, 2015

$- {3}^{10}$
The common ratio is $- 3$.
The ${n}^{t h}$ term of the sequence is $\frac{{\left(- 3\right)}^{n}}{3}$.
The ${11}^{t h}$ term of the sequence is $\frac{{\left(- 3\right)}^{11}}{3} = - {3}^{10}$.