As part of my coursework I have chosen number grid.
According to the task, I followed four steps in 10 10 grid
- A box is drawn round four numbers.
- Find the product of the top left number and the bottom right number.
- Do the same with the top right and bottom left number.
- Calculate the difference between these numbers.
The results are noted in the table below.
From the worked examples I find that the difference between the product found for the diagnol square in the 10 10 is 10.
From these results I predict that the difference between the next products in a diagnol square of 2 2 will be 10in 10 10 grid.
The results prove that the prediction was right.
Can it be true for any square ?
I tried to investigate further if it can be true while choosing a 3 3 square in 10 10 grid following the same four steps.
The results are in the table below.