The series is the result of squaring whole numbers starting with 1: 1*1=1
2*2=4
3*3=9
4*4=16
5*5=25 Therefore, the next number must be the result of squaring 6 (or 6*6), which is 36.
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This is the series of square numbers, (16= 4*4). The next number is 5*5=25.
33
The Pattern is 1^2- 2^2- 3^2- 4^2- 5^2 or 1 - 4 - 9 - 16 - 25 The next number in the series is 6^2 or 36
49 (it is an arithmetic series that adds 5 then 7 then 9 then 11 then 13)
The next number is 25 but there are the sequence is infinite so there can be no end to the sequence.