This is wrong. It should be
16 should be replaced by 10
2+2=4, 4x2=8, 8+2=10, 10x2=20, 20+2=22, 22x2=44, 44+2=46
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This is the series of square numbers, (16= 4*4). The next number is 5*5=25.
The next number is 25 but there are the sequence is infinite so there can be no end to the sequence.
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
It is 24 and it should be 25 as a square number
16*3 = 48