T- number t-total
The relationship between the t- totals is 5.Now the algebra
Point Of View Tn= (n-19)+(n-18)+(n-17)+(n-9)+n
Tn = 5n –63 this is for a 9 by 9 grid.
Does this agree with the table’s equation? T20 = 5 x 20 - 63
100 – 63 = 37 let me make sure that this does work by doing two more tests T21 = 5 x 21 = 105 – 63 = 42 and
T22 = 5 x 22 = 110 – 63 = 47.
Now I will change the grid size to 10 by 10 and repeat the investigation.
T-number T- total
The different is 5 between the t- totals.
Now the algebra point of view
Tn = (n-21)+(n-20)+(n-19)+(n-!8)+(n-10)+n
Tn = 5n – 70 does this agree with the table’s equation
T32 5 x 32 = 160 – 70 = 90 to make sure that the equation is right I will do it two more times.
T33 5 x 33 =165 – 70 = 95 T34 5 x 34 = 170 – 70 = 100
Now I will change the grid size to 11 by 11 and repeat the process.
T- number T- total
The different between the t-numbers are 5. Now the algebra point of view Tn (n-23)+(n-22)+(n-21)+(n-11)+n
Tn 5n-77 does this agree with the tables equation
Tn 5 x 46 = 230 – 77 = 153 to make sure that this is right I will do it two more times Tn 5 x 47 = 235 – 77 = 158
Tn 5 x 48 = 240 – 77 = 162. This investigation means that if there is a 12 by 12 grid the algebra equation is Tn 5n- 84
Grid size Tn
The over all equation for the tables are Tn = 5n – 7G
