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# The Relationship between the T-Number and the T-Total

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Introduction

The Relationship between the T-Number and the T-Total The T-Total is the number that is derived from the sum of all numbers within a 'T' shape placed on a numbered grid. The T-Number is the number at the bottom of the 'T' 1: I have been asked to find the relationship between the T-number and The T-Total and devise a formula to derive the T-Total from any given T-Number of any translation of the 'T' shape. ...read more.

Middle

This means that: T-Number = TN T-Total = TN + TN - 9 + TN -18 + TN - 17 + TN -19 So T-Total = 5TN - 63 So to test the formula: Eg. 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 ...read more.

Conclusion

2 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 22 + 23 + 24 + 32 + 41 = 142 And: 5*41 = 205 - 63 = 142 ...read more.

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# Related GCSE T-Total essays

1. ## T-Total Maths

Formula: T=5N+7 I tested that when: T-number=40 T-total=208 Below is a T-shape, and in each cell how number is connected with T-number on a 7 by 7 number grid. To prove the formula: T= N+N-1+N-9+N-2+N+5 T= 5N+7 How the formula works there are some example shown in below are: Formula:

2. ## I am going to investigate how changing the number of tiles at the centre ...

N=3, T = 2(3)� + 6(1) + 3 = 39. This formula gives me the same sequence of total tiles as I counted from my diagrams. Prediction I can use my Total Tiles formula to predict how many tiles I would need for any pattern number, with 3 centre tiles.

1. ## Investigate the relationship between the T-total and the T-number.

+ (x - 18) + (x - 17)+ (x - 9) + (x + 0) Which gives you five lots of x to give you 5x which is the 1st part of the formula and you have to take away 63 (which is the rest of the numbers in the sum).

2. ## The T-Total Mathematics Coursework Task.

32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81

1. ## Investigating the relationship between the T-total and the T-number.

Let a be the vector and y be the new T-total after being translated. b a only moves horizontally which, in this case, only differs by 1 unit whether moving to the left or to the right. b only moves vertically which, in this case, only differs by 9 units

2. ## Investigating the links between the T-number and the T-total on a size 9 grid

Rotating T through 1800 clockwise 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45

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