Sorry but your notation is ambiguous
Is it U(n+1) = (3U(n) + 1)/(5U(n) + 3)
or U(n+1) = (3U(n) + 1)/(5U(n)) + 3
or U(n+1) = 3U(n) + (1/5U(n)) + 3
or U(n+1) = 3U(n) + (1/5)U(n) + 3?
If so, what do you wish us to do with this sequence?
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