Answer
$s_n = 3\times2^n$
Work Step by Step
The sequence $3, 6, 12, 24, 48, 96$ looks like it is doubling it's value,
Let's analise the steps, and call our sequence of $S_n$, for all $n \geq 0$,
$s_0 = 3 $
$s_1 = 6 $
$s_2 = 12 $
$s_3 = 24 $
$s_4 = 48 $
$s_5 = 96 $
This sequence looks just like a geometric progression, the answer is very trivial
$s_n = 3*2^n$
Multiplicates 3 by 2, index times.
