\[16,\ 24,\ 36\]
\[q = \frac{24}{16} = \frac{3}{2};\]
\[S_{6} = \frac{16 \cdot \left( \left( \frac{3}{2} \right)^{6} - 1 \right)}{\frac{3}{2} - 1\ } =\]
\[= \frac{16 \cdot \left( \frac{729}{64} - 1 \right)}{0,5} =\]
\[= 32 \cdot \frac{665}{64} = 332,5.\]
\[Ответ:332,5.\]