Final answer:
The next size in the wrench set would be 1/32.
Step-by-step explanation:
The given socket sizes are 1, 1/2, 1/4, 1/8, and 1/16. To determine the next size, we can observe a pattern. Each size is obtained by halving the previous size. So, to find the next size, we halve 1/16. Dividing 1 by 16 gives us 1/16, and halving it gives us 1/32.