The pattern in this is \(n*(x+1)\), where n is the previous number in the sequence and x is the number you multiplied a number by to get the previous number. You start with twelve times two, then increase the number you multiply by by one.
\(12*2=24 \\ 24*3=72 \\ 72*4=288\)
\(n*(x+1) \\ 288*(4+1) \\ 288*5 \\ 1440\)
The next number in the sequence is 1440.
