There are infinitely many possible answers. The simplest, linear, rule is
Un = 4n - 17 for n = 1, 2, 3, ...
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It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b
Well, it would depend what the sequence was...? If the sequence was 2,4,6,8,10,12,14,16,18,20, then the 9th term would be 18!
That depends what the pattern of the sequence is.
An infinite sequence.
what term is formed by multiplying a term in a sequence by a fixed number to find the next term