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t totals. To see whether there is any pattern in Ts on a 9x9 grid, the usage of individual Ts would be needed.

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Introduction

T-Total Coursework

Aim

The aim of this investigation was to determine how a T-number affects in a T-total, in different rotations and enlargements.

A standard T, for the intents of this investigation, is designed as such:                                   where each box

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Middle

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To see whether there is any pattern in ‘T’s’ on a 9x9 grid, the usage of individual T’s would be needed.

T-Number: 20

T-Total: 20+11+1+2+3=37

T-Number: 32

T-Total: 32+23+13+14+15=97

T-Number: 56

T-Total: 37+38+39+47+56=217

T-Number: 77

T-Total:58+59+60+68+77=322

T-Number: 62

T-Total:43+44+45+53+62=247

Each of these numbers end in a 2 or a 7, showing how a number ending in 5 is added to the T-total each time. To find this number, consecutive T’s must be used.

T-number=20    T-number=21   T-number=22   T-number=23  T-number=24

T-total= 37       T-total=42        T-total=47       T-total=52       T-total=57

As the T-number increases by 1, the T-total increases by 5 as each number inside it increases by one in the T. To determine an algebraic equation to relate the value of the T-number to the T-total, a value has to be assigned to the T-number, for the purposes of this investigation I will use N.

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Conclusion

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The arrow is shows the consecutive T’s I will evaluate.

T=10     T=11     T=12      T=13      T=14      T=15

TT=57   TT=62    TT=67    TT=72    TT=77    TT=82

As the T number increases by 1, the T total increases by 5, as each number within the T increases by one.

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