# What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?

Oct 28, 2015

The 11th term is $- 3072$

#### Explanation:

${a}_{1} = - 3$
${a}_{2} = \left(- 3\right) \cdot 2$
${a}_{3} = \left(- 3\right) \cdot {2}^{2}$
${a}_{4} = \left(- 3\right) \cdot {2}^{2}$
etc.
${a}_{i} = \left(- 3\right) \cdot {2}^{i - 1}$
...
${a}_{11} = \left(- 3\right) \cdot {2}^{10} = \left(- 3\right) \cdot 1024 = - 3072$