According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid.
The simplest pattern is Un = 2*n for n = 1, 2, 3, ...
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4*2-2=6 6*2-2=10
(n - 10) + 6
Keep subtracting 6
Homework question: The first numbetr is 4. A rule is multiply by 2 and then subtract 3. What are the first 6 numbers in the pattern
add 4 to every other number 1(+4)=5, 5(+4)=9 2(+4)=6