The next number is -21
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This is the series of square numbers, (16= 4*4). The next number is 5*5=25.
21
The next number is 25 but there are the sequence is infinite so there can be no end to the sequence.
This is the Fibonacci Series. Each term is the sum of the two previous terms. It continues 21, 34, 55, 89 ...
Well, the pattern is the previous number plus the current number. So the next three numbers would be 21, 34, 55...