# How do you find the explicit formula for the following sequence 5, 8, 12.8, 20.48,...?

${a}_{n} = 5 \cdot {\left(\frac{8}{5}\right)}^{n - 1} \text{ }$where $n = 1 , 2 , 3 , 4. \ldots . .$
Geometric Progression with $r = \frac{8}{5}$ and ${a}_{1} = 5$