# T- Total Investigation

Extracts from this document...

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

Middle

20

21

22

23

24

25

26

27

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29

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31

32

33

34

35

36

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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

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

This student written piece of work is one of many that can be found in our GCSE T-Total section.

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