y. f ( x ) = ax + b. f 1. A. B. C. f 2. E. F. D. x. x. x 2. x 1. Total sum. Value i n row. L-sum. Value in any row, x and column, y. Total sum. Total sum of any row, x to column y. X= row # Y = column #. Value in any column, y and row x. Value in column. Total sum.
f(x) = ax + b
Value in any row, x and column, y
Total sum of any row, x to column y.
X= row #
Y = column #
Value in any column, y and row x.
Value in column
Total sum of any column, y to row x.
Red arrows are increasing by consecutive odd #’s. Blue arrows are increasing by consecutive evens. As with the rows and columns, we could generate a quadratic function to find the total sum of the diagonals.
These are the sum of the triangular numbers, the tetrahedral numbers. These are also found in the fourth diagonal in Pascal’s triangle. There total sum would be the Pascal’s 5th diagonal.
The square numbers!