Given ANY number, it is easy to find a polynomial of order 4 such that if you use it as a position to value rule you get the four given numbers and your chosen one as the fifth. As a result, any number can be the next in the sequence.
The simplest polynomial of order 3 for the above four numbers is:
Un = (-3n3 + 32n2 - 57n + 34)/2 for n = 1, 2, 3, ...
Accordingly, the next number is 87.
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35
The number sequence given is 100,135,7,25. The next number would be 498 given this pattern.(35 -128, 18, 47.3, -163,146, 455, 309, 309) the difference of the pattern never converges.
100 (12/35) = 240/7 which is approximately 34 %
+1, +2, +4, +8 It doubles each time. The next number will be 35.
85 82 35 15