Rahul has just made a magic square, in which, the sum of the cells along any row, column or diagonal, is the same number N. The entries in the cells are given as expressions in x, y, and Z. Find N?   <figure class="table"><table><tbody><tr><td>\(3x+4y\)</td><td>\(2x\)</td><td>\(2x+y+z\)</td></tr><tr><td>\(2x^2\)</td><td>\(4y\)</td><td>\(y^2+z\)</td></tr><tr><td>\(y+z\)</td><td>\(3x+2z\)</td><td>\(z-1\)</td></tr></tbody></table></figure>

A	B	C	D	Average
3	4	4	?	4
3	?	5	?	4
?	3	3	?	4
?	?	?	?	4.25
4	4	4	4.25

Tasks:
1. What are the missing values in the table?
2. How were the missing values calculated?
3.Verify the correctness of the given averages for both rows and columns.

\(R\) and \(S\) scored the same on the first test.
From the second test onwards, \(R\) consistently scored the same (a non-zero score).
The total of the first three test scores of \(R\) equals the total of the first two test scores of \(S\).
From the fifth test onwards, \(S\) scored the same as \(R\).
The scores of \(S\) from the first two tests and all the remaining tests follow a geometric progression.

Rahul has just made a magic square, in which, the sum of the cells along any row, column or diagonal, is the same number N. The entries in the cells are given as expressions in x, y, and Z. Find N?

\(3x+4y\) \(2x\) \(2x+y+z\)
\(2x^2\) \(4y\) \(y^2+z\)
\(y+z\) \(3x+2z\) \(z-1\)