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Times 3, cut in half, plus 1. The next number is 75.
1, 4, 7, 10, 13, …
The straight line that best fits the data on a coordinate plane is the Line Of Best Fit.
The differences are not the same so the sequence is not arithmetic. The sequence starts with a zero, so it cannot be geometric, or an exponential (power) sequence. The quartic: (2n4 - 19n3 + 64n2 - 83n + 36)/6 fits the 5 points. That gives the next term as 55.
I have no idea. sorry. I do feel ashamed of myself, though :(