11205 Pattern rule: Start at 1. Multiply by 7, and subtract 2.
33
what number comes next 1 -8 -16 -24 -33
33
75
65
229
33
143
45
It is possible to find a polynomial of degree 5 such that it can be made to fit the pattern of the above five numbers and any number at all that is chosen to be the eighth. However, the simplest polynomial of degree 4 is Un = 36n4 - 336n3 + 1128n2 - 1568n + 741 for n = 1, 2, 3, ... and accordingly, the 8th term is 35,813.
Well, isn't that a happy little question! The number that comes between 33 and 34 is 33.5. It's like a little bridge connecting two beautiful numbers, bringing harmony and balance to our mathematical landscape. Just remember, there's no mistakes in math, just happy little accidents.