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T- Total Investigation

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Introduction

T- TOTAL

In this test I will be finding out the equation of the t- total and the formula of different grid sizes like 10 by 10,11 by 11 and 12 by 12.The investigation has the aim to find the pattern between the t- total and the grid size.

I have drawn several t- shapes in the grid below and worked out the t- total for them

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Middle

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100

                            T-number      T- total

32

90

33

95

34

100

35

105

36

110

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

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Conclusion

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

9

5n-63

10

5n-70

11

5n-77

12

5n-84

15

5n-105

The over all equation for the tables are Tn = 5n – 7G

...read more.

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