In this coursework I am going to investigate the relationship between T-numbers and T-totals. I will find the relationship between T-number and T-totals by looking at the pattern of the sequence, which goes up by 5 each times when you add the T-total with 5.
I will use grids of different size and will translate the T-shape into different positions in order to examine the correlation between them. The T-total and T-number will be translated onto different positions such as 900 clockwise. After the translation of T-total and T-number, I will find the formula that will be devised by putting a careful scrutiny on the pattern of my T-numbers.
Aim: The aim of this investigation is to find a relationship between the T-total and T-numbers, but in this case the T-shape can be positioned in different ways, for example upside down or side ways. As the T-shape can also be changed a relationship between the transformations also has to be found.
Method: I will first draw out a 9 by 9 grid and put T-shape within it first placing them upside down, then side ways on the right and then also on the left. I will place my results into a table and attempt to find a relationship between the T-total and T-number as I did before. I will incorporate this relationship into a rule using letters and numbers only. I will then do a similar thing for 8 by 8 grids and 7 by 7 grids.
In this investigation I am going to investigated relationships between the T-total, T-numbers and grid size by translating the T-shape to different positions on the grid and changing the grid size.
T- Total (9 by 9)
Look at this T-shape drawn on a 9 by 9 number grid.
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
20
21
22
23
24
25
26
27
28
39
30
31
32
33
34
35
36
37
38
49
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
What is the T-total?
The total of the numbers inside the T-shape is 1+2+3+11+20 = 37. The T-total for this T-shape is 37.
What is the T-number?
The number at the bottom of the T-shape is called T-Number. The T-number for this is 20
T-number and T-total table
T-number
T-total
20
37
21
42
39
32
40
37
78
332
80
337
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N-63
I tested that when: T-number=80
T-total=337
Below is a T-shape, and in each cell how number is connected with T-number on a 9 by 9 number grid.
To prove the formula: T= N+N-9+N-19+N-18+N-17
T= 5N-63
How the formula works there are some example shown in below are:
Formula: T = 5N-63
N = 20 21 22 23
T = 37 42 47 52
T-number
T = (5x20)-63
= 100-63
T = 37
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know the T-total for
N = 20
T = (5 x 20)-63
= 100-63 =37
As expected, the equation has produced yet another correct answer. Another example is below,
N = 21
T = (5 x 21)-63
= 105-63
= 42
N = 39
T = (5 x 39)-63
= 195-63
= 132
N = 40
T = (5 x 40)-63
= 200-63
= 137
N = 79
T = (5 x 79)-63
= 495-63
= 332
Here is the last equation I will show from the 9 by 9 grid to show that the equation
N = 80
T = (5 x 80)-63
= 400-63
= 337
Rotation of 1800
9 by 9
T-number and T-total table
T-number
T-total
2
73
3
78
4
83
5
88
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N+63
I tested that when: T-number=80
T-total=337
Below is a T-shape, and in each cell how number is connected with T-number on a 9 by 9 number grid.
To prove the formula: T= N+N-9+N-17+N-18+N-19
T= 5N+63
How the formula works there are some example shown in below are:
Formula: T=5N+63
I tested that when: T-number=62
T-total=373
N = 2 3 4 5
T = 73 78 83 88
T-number
T = (5x2) +63
= 10+63
T = 73
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know the T-total for
N = 3
T = (5 x 3) +63
= 15+63
= 78
As expected, the equation has produced yet another correct answer. Another example is below,
N= 4
T= (5x 4) +63
= 20+63
= 83
Here is the last equation I will show from the 9 by 9 grid to show that the equation
N=5
T= (5x5) +63
= 25+63
= 88
Rotation of 900
9 by 9
T-number and T-total table
T-number
T-total
0
57
1
62
2
67
3
72
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N+7
I tested that when: T-number=70
T-total=357
Below is a T-shape, and in each cell how number is connected with T-number on a 9 by 9 number grid.
To prove the formula: T= N+N-1+N-11+N-2+N+7
T= 5N+7
How the formula works there are some example shown in below are:
Formula: T=5N+7
I tested that when: T-number=62
T-total=373
N = 10 11 12 13
T = 57 62 67 72
T-number
T = (5x10) +7
= 50+7
T = 57
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know the T-total for
N = 11
T = (5 x 11) + 7
= 55+7
= 62
As expected, the equation has produced yet another correct answer. Another example is below,
N= 12
T= (5x 12) + 7
= 60+7
= 67
Here is the last equation I will show from the 9 by 9 grid to show that the equation
N=13
T= (5x13) +7
= 65+7
= 72
Rotation of 2700
9 by 9
T-number and T-total table
T-number
T-total
2
53
...
This is a preview of the whole essay
T = (5 x 11) + 7
= 55+7
= 62
As expected, the equation has produced yet another correct answer. Another example is below,
N= 12
T= (5x 12) + 7
= 60+7
= 67
Here is the last equation I will show from the 9 by 9 grid to show that the equation
N=13
T= (5x13) +7
= 65+7
= 72
Rotation of 2700
9 by 9
T-number and T-total table
T-number
T-total
2
53
3
58
4
63
5
68
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N-7
I tested that when: T-number=72
T-total=337
Below is a T-shape, and in each cell how number is connected with T-number on a 9 by 9 number grid.
To prove the formula: T= N+N-1+N+11+N+2+N+7
T= 5N-7
How the formula works there are some example shown in following are:
Formula: T=5N-7
I tested that when: T-number=62
T-total=353
N = 12 13 14 15
T = 53 58 63 68
T-number
T = (5x12) -7
= 60-7
T = 53
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know the T-total for
N = 13
T = (5 x 13) - 7
= 65-7
= 58
As expected, the equation has produced yet another correct answer. Another example is below,
N= 14
T= (5 x 14) - 7
= 70 - 7
= 63
Here is the last equation I will show from the 9 by 9 grid to show that the equation
N= 15
T= (5 x 15) - 7
= 75-7
= 68
T- Total (8 by 8)
Look at this T-shape drawn on an 8 by 8 number grid.
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
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
T-number and T-Total table
T-number
T-total
8
34
9
39
37
29
38
34
62
254
63
259
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N-56
I tested that when: T-number= 63
T-total= 191
Below is a T-shape, and in each cell how number is connected with T-number on an 8 by 8 number grid.
To prove the formula: T= N+N-9+N-17+N-16+N-15
T= 5N-56
How the formula works there are some example shown in below are:
Formula: T=5N-56
N= 18 19 20 21
T= 34 39 44 49
T-number
T= (5x18)-56
= 80-56
T= 34
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know
N = 18
T = (5x18)-56
= 90-56
= 34
As expected, the equation has produced yet another correct answer. Another example is below.
N =19
T = (5x19)-56
= 95-56
= 39
N = 37
T = (5 x 37)-56
= 185-56
= 129
N = 38
T = (5x38)-56
= 190-56
= 134
N = 63
T = (5x63)-56
= 315-56
= 259
Here is the last equation I will show from the 8 by 8 grid to show that the equation is correct.
N = 62
T = (5x62)-56
= 310-56
= 254
Rotation of 1800
8 by 8
T-number and T-Total table
T-number
T-total
2
66
3
71
4
76
5
81
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N+56
I tested that when: T-number= 47
T-total= 291
Below is a T-shape, and in each cell how number is connected with T-number on an 8 by 8 number grid.
To prove the formula: T= N+N-8+N-15+N-16+N-17
T= 5N+56
How the formula works there are some example shown in below are:
Formula: T=5N+56
N= 2 3 4 5
T= 66 71 76 81
N=2 T-number
T= (5 x 2) + 56
= 10 + 56
= 66
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know
N = 3
T = (5 x 3) +56
= 15+56
= 71
As expected, the equation has produced yet another correct answer. Another example is below.
N = 4
T = (5 x 4) +56
= 20 + 56
= 76
Here is the last equation I will show from the 8 by 8 grid to show that the equation is correct.
N = 5
T = (5 x 5) + 56
= 25 + 56
= 81
Rotation of 2700
8 by 8
T-number and T-Total table
T-number
T-total
1
48
2
53
3
58
4
63
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N-7
I tested that when: T-number= 56
T-total= 273
Below is a T-shape, and in each cell how number is connected with T-number on an 8 by 8 number grid.
To prove the formula: T= N+N+1+N+10+N+2+N-6
T= 5N-7
How the formula works there are some example shown in below are:
Formula: T=5N-7
N= 11 12 13 1 4
T= 48 53 58 63
N= 11 T-number
T= (5 x 11) - 7
= 55-7
= 48
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know for:
N = 12
T = (5 x 12)-7
= 60-7
= 53
As expected, the equation has produced yet another correct answer. Another example is below.
N = 13
T = (5 x 13)-7
= 65-7
= 58
Here is the last equation I will show from the 8 by 8 grid to show that the equation is correct.
N = 14
T = (5 x 14)-7
= 70-7
= 63
Rotation of 900
8 by 8
T-number and T-total table
T-number
T-total
9
52
0
57
1
63
2
67
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N+7
I tested that when: T-number=54
T-total=357
Below is a T-shape, and in each cell how number is connected with T-number on a 9 by 9 number grid.
To prove the formula: T= N+N-1+N-10+N-2+N+6
T= 5N+7
How the formula works there are some example shown in below are:
Formula: T=5N+7
I tested that when: T-number=62
T-total=277
N = 9 10 11 12
T = 52 57 63 67
T-number
T = (5x9) +7
= 45+7
T = 52
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know the T-total for
N = 10
T = (5 x 10) + 7
= 50+7
= 57
As expected, the equation has produced yet another correct answer. Another example is below,
N= 11
T= (5x 11) + 7
= 55+7
= 63
Here is the last equation I will show from the 8 by 8 grid to show that the equation
N=12
T= (5x12) +7
= 60+7
= 67
T- Total (7 by 7)
Look at this T-shape drawn on a 7 by 7 number grid.
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
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
T-number and T-total table
T-number
T-total
6
31
7
36
25
76
26
81
47
86
48
91
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N-49
I tested that when: T-number = 48
T-total = 191
Below is a T-shape, and in each cell how number is connected with T-number on a 7by 7 number grid.
To prove the formula: T= N+N-7+N-15+N-14+N-13
T= 5N-49
How the formula works there are some example shown in below are:
Formula: T=5N-49
N= 16 17 18 19
T= 31 36 41 46
T-number
T = (5x16)-49
= 80-49
= 31
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know the T-total for:
N = 16
T = (5 16)-49
= 80-49
= 31
As expected, the equation has produced yet another correct answer. Another example is below.
N = 17
T = (5x17)-49
= 85-49
= 36
N = 25
T = (5x25)-49
= 125-49
= 76
N = 26
T = (5 26)-49
= 130-49
= 81
N = 47
T = (5x47)-49
= 235-49
= 186
Here is the last equation I will show from the 7 by 7 grid to show that the equation is correct.
N = 48
= (5x31)-49
= 240-49
= 191
Rotation of 1800
7 by 7
T-number and T-total table
T-number
T-total
2
59
3
64
4
69
5
74
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N+9
I tested that when: T-number = 34
T-total = 222
Below is a T-shape, and in each cell how number is connected with T-number on a 7by 7 number grid.
To prove the formula: T= N+N-7+N-15+N-14+N-13
T= 5N-49
How the formula works there are some example shown in below are:
Formula: T=5N+49
N= 2 3 4 5
T= 59 64 69 74
T-number
T = (5x2) +49
= 10+49
= 59
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know the T-total for:
N= 3
T= (5x3) +49
= 15+49
= 64
As expected, the equation has produced yet another correct answer. Another example is below.
N = 4
T= (5x4) +49
= 20+49
= 69
Here is the last equation I will show from the 7 by 7 grid to show that the equation is correct.
N = 5
T= (5x5) +49
= 25+49=74
Rotation of 2700
7 by 7
T-number and T-Total table
T-number
T-total
0
43
1
46
2
51
3
56
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
Formula: T=5N-7
I tested that when: T-number= 42
T-total= 204
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: T=5N-7
N= 10 11 12 1 3
T= 43 46 5`1 56
N= 10 T-number
T= (5 x 10) - 7
= 50-7
= 43
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know for:
N = 11
T = (5 x 11)-7
= 55-7
= 46
As expected, the equation has produced yet another correct answer. Another example is below.
N = 12
T = (5 x 12)-7
= 60-7
= 51
Here is the last equation I will show from the 7 by 7 grid to show that the equation is correct.
N = 13
T = (5 x 13)-7
= 65-7
= 56
Rotation of 900
7 by 7
T-number and T-total table
T-number
T-total
8
47
9
52
0
57
1
62
Here I have added a prediction of mine when I realized the pattern of the sequence, which goes up by 5 each time.
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: T=5N+7
N = 8 9 10 11
T = 47 52 57 62
T-number
T = (5x8) +7
= 40+7
T = 47
T-total
This equation has produced its first correct answer. I will carry on and test T-shape I know the T-total for
N = 9
T = (5 x 9) + 7
= 45+7
= 52
As expected, the equation has produced yet another correct answer. Another example is below,
N= 10
T= (5x 10) + 7
= 50+7
= 57
Here is the last equation I will show from the 7 by 7 grid to show that the equation
N=11
T= (5x11) +7
= 55+7
= 62
Formular Page
Grid number/rotation
formular
Prove the formula
Rotation of 3600 (7 by 7)
T=5n-49
Rotation of 1800
T=5n+49
Rotation of 2700
T=5n-7
Rotation of 900
T=5n+7
Rotation of 3600 (8 by 8)
T=5n-56
Rotation of 1800
T=5n+56
Rotation of 2700
T=5n-7
Rotation of 900
T=5n+7
Rotation of 3600 (9 by 9)
T=5n-63
Rotation of 1800
T=5n+63
Rotation of 2700
T=5n-7
Rotation of 900
T=5n+7
Here I have put all the formulas I have come up with. There are formulas for rotation then surly there is for reflection. As you can see the equations are totally the same the only difference is the sign. In the one I just done the sign is addition, but in the other one it is subtraction. They are reflected e.g. 3600 with 1800so the reflected each other but the sign changed with the reflection.
Grid Number
Formular
To prove the formular
7 by 7
T=5N-49
T= N+N-7+N-15+N-14+N-13
8 by 8
T=5N-56
T= N+N-9+N-17+N-16+N-15
9 by 9
T=5N-63
T= N+N-9+N-19+N-18+N-17
G by G
N=5N-7xG
T=N-2G-x+N-2G+N-2G+x+N-2G-x+N
Here, I have realised the pattern of the sequence of those grid size formulas which goes by 7 each times and I also realised from the formula it has a 7 time table which is connected with the grid number.
Now I will now work out a general T-shape, which have been translated 2 to the right, for any grid size because I can see the connection with a translation 2 to the right and the grid. I will now try to prove that my formula works
I am going to find the relationship between the T-Total, the T-number and the grid size when the T-shape is rotated 180°. I will try and find a formula to work out the T-Total from the T-number and the grid size. The Formulas that I have gathered
Formula for 9x9
T=5n +63
Formula for 8x8
T= 5n+56
Formula for 7x7
T=5n+49, each of these formulas are
T= 5n + x
x= the number that is added on
In all of these formulas I have noticed that each of the additions made is the grid size multiplied by 7. I.e. For an 8x8 grid use the number 8. E.g. 5n + (7x8)
The results compare the findings from the formula n=5n-7g with, I can start to substitute the numbers into the formula, to find out if the formula works.
Below is the formula that I have worked out for the general formula of different grid sizes. Now I will show how to work out the formula of any grid
T=5n + (7xG)
G= Grid size i.e. for a 9x9 grid use the number 9. E.g. 5n + (7x9)
Here are the results that I have gathered from the tests that I have done.
I will test this formula that I have worked out on each of the first T-numbers on each of the grid sizes.
Now I have worked the formula out for the T-Shape in the one position, I am going to translate the T-Shape to different positions and investigate the relationships between the T-Total, the T-number and the grid size.
9x9 Grid Sizes 180°
N = 2
5N
= 5x2
= 10
G = 9
= 7x9
= 63
I now have enough data to prove that my formula works
5N - 7G
= 10 + 63
= 73
So my Formula works because T = 73. The formula has worked for the 9x9 grid. Now I am going to find out this formula works for 8x8 grids.
8x8 Grid size 180°
N = 2
5N
= 5x2
= 10
G = 8
= 7x8
= 56
I now have enough data to prove that my formula works
5N - 7G
= 10 + 56
= 66
Below is my working out for the formula:
T= n+n+15+n+16+n+17+n+8
T= 5n+15+16+17+8
T= 5n+56
The formula is T= 5n + 56 for the 8x8 grid.
So my Formula works because T = 66. The formula also works for 8x8 grids. Now I am going to find out this formula works for 7x7 grids.
7x7 Grid size 180°
N =2
5N
= 5x2
= 10
G = 7
= 7x7
= 49
I now have enough data to prove that my formula works
5N - 7G
= 10 + 49
= 59
So my Formula works because T = 59. The general formula worked for all of my grid size. The general grid size formula to find the 180°
T-shape T-Total = 5n+ (Gx7)
I am going to do now is find out the relationships between the T-Total and the T-number using rotations of 90°Clockwise
9x9 Gird size 90°
N = 10
5N
= 5x10
= 50
G = 9
= 7x9
= 63
I now have enough data to prove that my formula works
5N - 7G
= 50 + 7
= 57
So my Formula works because T = 57. The formula has worked for the 9x9 grid. Now I am going to find out this formula works for 8x8 grids.
8x8 Gird size 90°
N = 9
5N
= 5x9
= 45
G = 8
= 7x8
= 56
I now have enough data to prove that my formula works
5N - 7G
= 45 + 7
= 52
So my Formula works because T = 52. The formula also works for 8x8 grids. Now I am going to find out this formula works for 7x7 grids.
7x7 Grid size 90°
N =10
5N
= 5x10
= 50
G = 7
= 7x7
= 49
I now have enough data to prove that my formula works
5N - 7G
= 50 + 7
= 57
So my Formula works because T = 57. The general formula worked for all of my grid size.
The general grid size formula to find the 90°
T-shape T-Total = 5n+ (Gx7)
I am going to do now is find out the relationships between the T-Total and the T-number using rotations of 270°Clockwise 9 by 9 grid size
9x9 Gird size 270°
N = 12
5N
= 5x12
= 60
G = 9
= 7x9
= 63
I now have enough data to prove that my formula works
5N - 7G
= 60 - 7
= 53
So my Formula works because T = 53. The formula has worked for the 9x9 grid. Now I am going to find out this formula works for 8x8 grids.
8x8 Gird size 270°
N = 11
5N
= 5x11
= 55
G = 8
= 7x8
= 56
I now have enough data to prove that my formula works
5N - 7G
= 55 - 7
= 48
So my Formula works because T = 48. The formula also works for 8x8 grids. Now I am going to find out this formula works for 7x7 grids.
7x7 Grid size 270°
N =10
5N
= 5x10
= 50
G = 7
= 7x7
= 49
I now have enough data to prove that my formula works
5N - 7G
= 50 - 7
= 43
So my Formula works because T = 43. The general formula worked for all of my grid size.
The general grid size formula to find the 270°
T-shape T-Total = 5n+ (Gx7)
I have found relationships between the T-total, T-numbers and grid size by translating the T-shape to different positions on the grid and changing the grid size.
Prediction: I have found that between the first two T-totals there is a difference of 5. However unlike the other grids I did where the T was the right way around the difference instead of decreasing increases. The difference occurs in each row in the grid, for example the first T-total is 31 if you add 5 to it you get the next T-total, which is 36. Like I did in the previous grids I am going to multiply the T-number by 5. I am going to try it for the first one my T-number is 16 and the T-total is 31
5x16=80
This is too big. I will have to subtract something to it to reach the T-total 31. To get the number that I have to subtract the numbers 80 by 49 this is equal to 31. 31 is the T-total and 49 is the answer to the multiplication I just did.
80 - 49 = 31
This tells me to get the T-total I must multiply the T-number by 5 and then add 28 to it.
T = 5n - 49
Test: I am now going to test the rule to see if it works. There are no other T-totals to find. I will use the rule to calculate the T-total for a T-number of 7 if the answer matches the answer I have in the table the rule has worked.
5x7 = T-total
35 - 49 = 14
I have found that this rule, T-total = 5n - 49, works. I will now compare it to the rule I found in the other 9 by 9 grid were the T was the right way around. I will do this with all the grids I am going to do to find if there are any similarities.
Upside down T-Shape T-total = 5n + 49
Right way around T-Shape T-total = 5n - 49
As you can see the equations are totally the same the only difference is the sign. In the one I just done the sign is addition, but in the other one it is subtraction. This could occur in the other grids too.
Conclusion: In this project we have found out many ways in which to solve the problem we have with the t-shape being in various different positions with different sizes of grids. The way we have made the calculations less difficult is by creating a main formula that changes for all the different circumstances. I have found out by doing these grids that as well as having one rule for each grid to work out the T-totals possible with in it, there can also be overall rules to work out any T-total of any grid size be it a 9 by 9 grid or a 65 by 65 grid. I also worked out that you always multiply the T-number 5 and to get the number which you have to subtract all you do is multiply the grid size by 9.
I enjoy doing this investigation and the things I have found most interesting is finding out the formula for the any gird size. In following there is an example of a formula which can be solving for any grid size.
The Formula for any grid size is N=5n-7g
9x9 Gird size °
N = 20
5N
= 5x20
= 100
G = 9
= 7x9
= 63
I now have enough data to prove that my formula works
5N - 7G
= 100 - 63
= 37
So my Formula works because T = 37. The formula also works for 9x9 grids.
I found exciting to found out the formula for any grid size. I found this coursework is ok.
The things I am strongest in this coursework is finding out the relationship between T-number and the T-totals because, the things you have to look at the pattern of the sequence.
In this coursework I am weakest to prove to formula because you have explained what you are doing on there.
The things I think it was wasting time is doing same things over and over again but it improve my explanation and it helps me to memories the method by doing over again.
Overall I like it because it helps me to think with the formula going to be for next grid and the relationship between T-number and T-totals.
When I rotated the T-shape around I found the formula are connected with each other and they reflected with each other as well.
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Name: Farhana Akther
Candidate Number:0000
Date: 06/12/2007
Name: Farhana Akther
Candidate Number:0000
Date: 06/12/2007
Name: Farhana Akther
Candidate Number:0000
Date: 06/12/2007
Name: Farhana Akther
Candidate Number:0000
Date: 06/12/2007
Name: Farhana Akther
Candidate Number:0000
Date: 06/12/2007
Page 19 of 33
Name: Farhana Akther
Candidate Number:0000
Date: 06/12/2007
Page 29 of 33
Name: Farhana Akther
Candidate Number:0000
Date: 06/12/2007
Name: Farhana Akther
Candidate Number:0000
Date: 06/12/2007
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