The pattern in this is [tex]n*(x+1)[/tex], 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.
[tex]12*2=24 \\ 24*3=72 \\ 72*4=288[/tex]
[tex]n*(x+1) \\ 288*(4+1) \\ 288*5 \\ 1440[/tex]
The next number in the sequence is 1440.
