26
This is the series of square numbers, (16= 4*4). The next number is 5*5=25.
37
16*3 = 48
It is: 16 squared = 256
26
This is the series of square numbers, (16= 4*4). The next number is 5*5=25.
625
481
24
37
The series is decreasing by consecutive perfect squares starting from 16^2 (256) and decreasing by 2^2 each time. Therefore, the next number in the series would be 4^2, which is 16.
16*3 = 48
It is: 16 squared = 256
22
24, they are going up in 3's, 13, 16, 19 and 18, 21 so next number is 24.
It depends on what you would like it to be. You can select a rule so that any number can be next. For example, if you select the rule:Un = (-8*n^3 + 51*n^2 - 88*n + 48)/3, then the next number is 0;Un = (-5*n^3 + 32*n^2 - 55*n + 30)/2, then the next number is 1;Un = (-7*n^3 + 45*n^2 - 77*n + 42)/3, then the next number is 2;and so on. Furthermore, the next number need not be an integer. So the question should be "what is your best guess as to the rule that the questioner had in mind for the first three numbers and, if that guess is correct, what is the next number?"The answer to that question is 16.