answer: 30
48-(0+2^1)=46
48-(2+2^2)=42
48-(2+2^3)=38
48-(2+2^4)=30
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The next number is 49+8 = 57
The next number is eight. If you look at the differences between the numbers, you can see that two different operations are being done. The first operation is to add a certain amount, and the next operation is to divide by that same amount. The amount used is then incremented by one, and the process repeated. 40 + 2 = 42 42 / 2 = 21 21 + 3 = 24 24 / 3 = 8 8 + 4 = 12 12 / 4 = 3 and so on. The sequence then, continues as follows: 40, 42, 21, 24, 8, 12, 3, 8, 8/5, 38/5, 38/11, 115/11, 115/77, ...
57 36 +1 = 37 37 +2 = 39 39 +3 = 42 42 +4 = 46 46 +5 = 51 51 +6 = 57
The series appears to increase as follows: 1 (+3), 4 (+5), 9 (+7), 16,, etc. If so, the next number in the series would be 25 (16 + 9). * * * * * While mathematically equivalent, a simpler description is: 12, 22, 32, 42, 52 ...
It is: (3*27)+42 = 123