4,16,8,32,16,

What comes after

The pattern is:

multiply by 4, divide by 2, multiply by 4 ... etc

so what comes next is 16*4=64

Your answer is 64.

If you look at it the pattern is:

Multiply by 4, then divide by 2

4 times 4 = 16

16 divided by 2 = 8

8 times 4 = 32

32 divided by 2 = 16

Now you would multiply by 4

16 times 4 = 64