# How do you write the explicit formula for the sequence -1, 0.1, -0.01, 0.001,...?

Feb 15, 2016

${t}_{0} = - 1$ ; ${t}_{n} = - {t}_{n - 1} \cdot {10}^{-} 1$

#### Explanation:

Each successive term is the previous term divided by $- 10$
${t}_{0} = - 1$
${t}_{1} = - {t}_{0} \cdot {10}^{-} 1$
${t}_{2} = - {t}_{1} \cdot {10}^{-} 1$
...
${t}_{n} = - {t}_{n - 1} \cdot {10}^{-} 1$