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T totals

GCSE Math’s
Investigation

Introduction

In this investigation I’m going to investigate the relationship between the T-total and the T-number. ... I will also have to translate and compare different positions of the T-shape and the T-numbers. ...

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
1      2     3
     11     
     20     






T-number = 20
T-Total = 1+2+3+11+20=37
T20=37

n-19     n-18     n-17
     n-9     
      n     




T-number = n
T-Total = n+n-9+n-17+n-18+n-19
Tn = 5n-63



     T-number = 20
Tn = 5n-63




     20 * 5 = 100
-63
37

Here is another 9*9 grid I will use the similar method just like the one on the first page and see what I gate for this second one. ...



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
3     4     5
     13     
     22     






T-number = 22
T-Total = 3+4+5+13+22=47
T20=47





n-19     n-18     n-17
     n-9     

      n     




T-number = n
T-Total = n+n-9+n-17+n-18+n-19
Tn = 5n-63



     T-number = 22
Tn = 5n-63




     22 * 5 = 110
-63
47







As you can see this is another 9*9 grid though this is the final one which will bring as to the final conclusion on whether my prediction was write or wrong.


Approximate Word count = 1365
Approximate Pages = 5.5
(250 words per page double spaced)
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