what is the missing number?

4, 6, 8, 12, 24, 36, ______, 144, 480.

The trick is to split it into two subsequences. (All the odd terms and all the even terms)

4, 8, 24, _, 480

&

6, 12, 36, 144.

It looks like the pattern is ascending multiplication:

4*2 = 8, 8*3 = 24, 24 *4 = 96, 96*5 = 480

The number you multiply by increases by 1 each time.

This works for the other subsequence too.

6*2 = 12, 12*3 = 36, 36*4 = 144

So the missing term is 96.