# Fill the grid (pattern)

Can you guess what comes in place of the question mark?

Here's a text-based version of the table:

+----+----+----+----+
|1536| 48 | 96 | 3  |
+----+----+----+----+
|384 |192 | 24 | 12 |
+----+----+----+----+
|768 | 96 | 48 | 6  |
+----+----+----+----+
|192 | ?  | 12 | 24 |
+----+----+----+----+


It's:

$$384$$. Starting from the top-left, go down and do a U'y at the bottom, go up, do a U'y at the top, you get: $$1536, 384, 768, 192, ?, 96, 192, 48, 96, \dots$$, which is divide by $$4$$, multiply by $$2$$, and repeat.

• You got it. It's correct – Ak19 May 4 at 11:55

It is

$$384$$. In every row, the product of first two numbers is $$73728$$ and the product of last two numbers are $$288$$.

• The answer is correct. But there is a much simpler way to find the pattern. – Ak19 May 4 at 6:00