$3,7,16,32,57,\_$

Explanation:

• The first differences are 4, 9, 16, 25.
• The second differences are 5, 7, 9, increasing by 2 each time.
• The next second difference is 11.
• Adding 11 to the last first difference (25) gives 36.
• Adding 36 to the last term (57) gives 93.

Thus, the sequence continues as 3, 7, 16, 32, 57, 93.