Given the sequence:
[tex]\mleft\{-1,171,875;-234,375;-46,875;-9375,\ldots\mright\}[/tex]
Each subsequent number can be calculated using a division by 5. Then, the common ratio of the (geometric) sequence is 1/5, and the initial value is −1,171,875. The explicit rule of the sequence is:
[tex]\begin{gathered} a_n=a_0\cdot r^{n-1} \\ a_0=-1,171,875 \\ r=\frac{1}{5} \\ \\ \therefore a_n=-1,171,875\cdot(\frac{1}{5})^{n-1} \end{gathered}[/tex]
