What

what is the next 3 terms in this geometric sequence?... 32, 48, 72, 108

Geometric Sequence ... 32, 48, 72, 108, ...

The common ratio r is 1.5

$r = 1.5\\ r = \frac{48}{32} = \frac{72}{48} = \frac{108}{72}$

The  geometric sequence is $a,\ a\cdot r,\ a\cdot r^2,\ a\cdot r^3,\ a\cdot r^4,\ \dots$

$\begin{array}{rcll} a_{n+1} &=& a_n \cdot r \\ \end{array}$

32,

32*1.5 = 48

48 *1.5 = 72

72 * 1.5 = 108

108 * 1.5 = 162

162 * 1.5 = 243

243 * 1.5 = 364.5

The next 3 terms in this geometric sequence 162, 243, 364.5