combine those $n$ lists without specifying whole $n$ sets explicitly?

Question

Suppose I have $n$ lists, How to combine those $n$ lists without specifying whole $n$ sets?

I mean; For a given lists

list1={{3, 1, 1}, {1, 3, 1}, {1, 1, 3}} list2={{2, 2, 1}, {2, 1, 2}, {1, 2, 2}}

Using the command Flatten, I can do

 Flatten[{lists1,lists2},1]

Produces what I want. i.e.,

{{3, 1, 1}, {1, 3, 1}, {1, 1, 3}, {2, 2, 1}, {2, 1, 2}, {1, 2, 2}}

For the next cases, I do the similar way. But I want to do this more general. For example given $list[1], \cdots, list[n]$ without specifiying all $n$ elements as

  Flatten[{list[1], list[2], .... ,list[n]},1]

Is there another way to implement the same operation?

Answer 1

From @user1066, I realize this works fine

   Flatten[Table[list[i], {i, 1, n}],1] 

Answer 2

mylist[i_] := RandomInteger[i, {3, 3}]
Catenate[mylist /@ Range[5]]