Question 1203621
<br>
ALL problems like this, in which a finite sequence of numbers is given without any information about what kind of sequence it is, and we are expected to find next terms or perhaps a formula for the n-th term, are invalid.<br>
Given any sequence of numbers with no information about the type of sequence, ANY following numbers will form a valid sequence.<br>
This kind of problem is for entertainment purposes only.  You can spend as much (or as little!) time as you want looking for a pattern that predicts subsequent numbers in the sequence; but you have no way of knowing whether any answer you come up with is "right".<br>