Your problem is rather clear. Perhaps you're looking for extend, to add all elements of another list to an existing list:
>>> x = [1,2]
>>> x.extend([3,4,5])
>>> x
[1, 2, 3, 4, 5]
If you want to convert integers to strings, use str() or string interpolation, possibly combined with a list comprehension, i.e.
>>> x = ['1', '2']
>>> x.extend([str(i) for i in range(3, 6)])
>>> x
['1', '2', '3', '4', '5']
All of this is considered pythonic (ok, a generator expression is even more pythonic but let's stay simple and on topic)