For the 2-3-4 sequence of consecutive numbers the solution is that it goes up in twelves in every single column (to find the starting number of the next sequence of three consecutive numbers you need to add 12 to the starting number of the previous sequence). For example:
2-3-4,
14-15-16,
26-27-28 ,
38-39-40,
50-51-52,
62-63-64,
74-75-76
86-87-88,
98-99-100,
110-111-112 and so on
You can also add ten from the last number in the previous row to get the first number in the following row of three numbers.
For the '3,4,5' sequence you need to add 60 every time and the first number in the row will end in 3 every time, the middle number ends in 4 every time and the end number will end in 5 every time. For example:
3-4-5
63-64-65
123-124-125
183-184-185
243-244-245
303-304-305
363-364-365
423-424-425
483-484-485
543-544-545