To find the next number in the last row after 75, let's analyze the number patterns in the grid.

Last row so far:

• 43, 49, 67, 47, 62, 05, 75

We will examine if there is an identifiable sequence in the pattern. Let's check some differences between consecutive numbers:

1. $49 - 43 = 6$
2. $67 - 49 = 18$
3. $67 - 47 = -20$
4. $62 - 47 = 15$
5. $05 - 62 = -57$
6. $75 - 05 = 70$

There doesn't appear to be an obvious arithmetic or geometric progression. However, it is possible the pattern could be based on alternating increases and decreases or another hidden logic.

Would you like to explore a different mathematical approach to find the next number, or do you have a specific method in mind you'd like to explore?

Here are five questions that could help us analyze patterns in this sequence further:

1. Could this be a modular arithmetic problem?
2. Should we consider alternating number sequences (e.g., an increase followed by a decrease)?
3. Could the differences be following a separate non-linear pattern?
4. Are there any similar number sequences earlier in the grid that follow this same trend?
5. Could factors of certain numbers influence the sequence?

Tip: Always look for repeating cycles or alternate increasing/decreasing patterns when dealing with number sequences.