# Is the following a geometric sequence 1.5, 2.25, 3.375, 5.0625,…?

The common ratio is $\textcolor{b l u e}{1.5}$ (i.e. ${a}_{n} = 1.5 \times {a}_{n - 1}$)
$1.5 \times \left(\textcolor{b l u e}{1.5}\right) = 2.25$
$2.25 \times \left(\textcolor{b l u e}{1.5}\right) = 3.375$
$3.375 \times \left(\textcolor{b l u e}{1.5}\right) = 5.0625$