The common factor of 3n2+6 is 3.
-((3n - 1)(n + 3))
-4n3 + 8n2 - 4n + 7
I'm not so sure, but: 12H2 + 2N3O6 = 12H2O + 3N2
The balanced equation would be 2N2H4 + N2O4 = 3N2 +4H2O
3n2-8n+4 = (3n-2)(n-2) when factored
Given any number it is easy to find a rule based on a polynomial of order 4 such that the four numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.The polynomial with the lowest order for this sequence isUn = -3n2 + 14n + 64 for n = 1, 2, 3, ...and, accordingly, the next number is 59.
3N2 + 3 H2 --> 2NH3 + 2 N2 I think....