T-Total Investigation

The first thing I did to investigate the relation between the T-number and the T-total was to work out them both and put them in a table as below:

T number

T-total

20

37

23

52

26

67

47

72

50

87

53

202

74

307

77

322

80

337

01

442

04

457

07

472

I could see no relation between the T-total and T number by looking at the grid or the table below. I began to think about a formula for each T. I came up with a formula for each different sized grids as below:

9x12 grid

N-19 N-18 N-17

N-9 5n-63

N

7x12 grid

N-15 N-14 N-13

N-7 5n-63

N

8x12 grid

N-25 N-24 N-23

N-12 5n-84

N

5x12 grid

N-11 N-10 N-9

N-5 5n-35

N

From all this information I now had to find a formula that not only work for one size of grid but any size of grid. I managed to find out from the information above that the formula for any grid is 5n-7g. I worked this out because in the formulas above if you divide the 5 (5n) by the number you are taking away from you always equal 7. With this information I came up with the formula; 5n-7g. The 'g' is the grid.

The next thing I did was tostart