+5 +5 +5 +5
5 x 18 = 90
∴ 90 – 34 = 56
5T – 56
The 50th Term is:
5 x 50 = 250
∴ 250 - 56 = 194
To Test:
T Number 30
5 x 30 = 150
∴150 – 56 = 94
+5 +5 +5 +5
5 x 16 = 80
∴ 80 – 31 = 49
5T – 49
The 50th Term is:
5 x 50 = 250
∴ 250 - 49 = 201
To Test:
T Number 40
5 x 40 = 200
∴200 – 49 = 151
+5 +5 +5 +5
5 x 14 = 70
∴ 70 – 28 = 42
5T – 42
The 50th Term is:
5 x 50 = 250
∴ 250 - 42 = 208
To Test:
T Number 30
5 x 30 = 150
∴150 – 42 = 108
Relationships and Master Formula Working Out
Formulae’s
9 x 9 Grids: 5T - 63
8 x 8 Grids: 5T - 56
7 x 7 Grids: 5T – 49
6 x 6 Grids: 5T – 42
- Smaller the Grid Size the less you have to take away from the T-Total
- The Larger the grid size the more you have to take away from the T-Total
- All The Formulas have gaps of 7
(Ex. 63 – 56 = 7. 56 – 49 = 7. 49 – 42 = 7.)
I found out that the master formula is 5T-(7xG)
I got the 5 by looking at the differences of the number.
The T stands for the T-Number (which is always 5; as there are 5 squares in the T; and it is current throughout.)
I got the 7, as all the gaps between the numbers at the end of each formula are 7.
I got the G as it stands for the grid size.
So the formula is:
5T-(7xG)
So it is 7 multiplied by the Grid number.
Then you take that away by 5 multiplied by the T-Number.
To Test:
Using Formula
10 x 10 grid
= 5T - (7xG)
= 5 x 20 – (7 x10)
= 100 - 70
= 70
= 5T - 70
Proving My Formula
5 x 22 = 110
∴ 110 – 40 = 70
By doing this working out I have proved my formula:
5T - (7xG)
Is correct and works on this 10 by 10 grid.
I have shown different methods of ways of working out formula’s and unknown numbers.
I have come up with a formula and explained how and why I got this formula.
My Master Formula, that works for any grid, is:
5T – (7xG)
I have tested this out on a 10 x 10 grid and made sure it is correct. This is my master formula and it works on all grids.
+5 +5 +5 +5
5T – -7
The 50th Term is:
5 x 50 = 250
∴ 250 – -7 = 257
To Test:
T-Number 30
5 x 30 = 150
∴150 – -7 = 157
9 x 9 Grids: Transformation
5 x 2 = 10
∴ 10 – 73 = -63
5T - -63
The 50th Term is:
5 x 50 = 250
∴ 250 - - 63 = 313
To Test:
T-Number 30
5 x 30 = 150
∴150 – -63 = 213
9 x 9 Grids: Transformation
5 x 12 = 60
∴ 60 – 53 = 7
5T - 7
The 50th Term is:
5 x 50 = 250
∴ 250 – 7 = 243
To Test:
T-Number 30
5 x 30 = 150
∴150 – 7 = 143
8 x 8 Grids: Transformation
5 x 9 = 45
∴ 45 – 52 = -7
5T – -7
The 50th Term is:
5 x 50 = 250
∴ 250 – -7 = 257
To Test:
T-Number 30
5 x 30 = 150
∴150 – -7 = 157
8 x 8 Grids: Transformation
5 x 2 = 10
∴ 10 – 66 = -56
5T - -56
The 50th Term is:
5 x 50 = 250
∴ 250 - - 56 = 306
To Test:
T-Number 30
5 x 30 = 150
∴150 – -63 = 213
8 x 8 Grids: Transformation
5 x 11 = 55
∴ 55 – 48 = 7
5T - 7
The 50th Term is:
5 x 50 = 250
∴ 250 – 7 = 243
To Test:
T-Number 30
5 x 30 = 150
∴150 – 7 = 143
7 x 7 Grids: Transformation
5 x 8 = 40
∴ 40 - 47 = -7
5T - -7
The 50th Term is:
5 x 50 = 250
∴ 250 – -7 = 257
To Test:
T-Number 30
5 x 30 = 150
∴150 – -7 = 157
7 x 7 Grids: Transformation
5 x 2 = 10
∴ 10 - 59 = -49
5T - -49
The 50th Term is:
5 x 50 = 250
∴ 250 – -49 = 299
To Test:
T-Number 30
5 x 30 = 150
∴150 – -49 = 199
7 x 7 Grids: Transformation
5 x 2 = 10
∴ 10 - 59 = -49
5T - -49
The 50th Term is:
5 x 50 = 250
∴ 250 – -49 = 299
To Test:
T-Number 30
5 x 30 = 150
∴150 – -49 = 199
6 x 6 Grids: Transformation
5 x 7 = 35
∴ 35 - 42 = -7
5T - -7
The 50th Term is:
5 x 50 = 250
∴ 250 – -7 = 257
To Test:
T-Number 30
5 x 30 = 150
∴150 – -7 = 157
6 x 6 Grids: Transformation
5 x 2 = 10
∴ 10 - 52 = -42
5T - -42
The 50th Term is:
5 x 50 = 250
∴ 250 – -42 = 292
To Test:
T-Number 30
5 x 30 = 150
∴150 – -42 = 192
6 x 6 Grids: Transformation
5 x 9 = 45
∴ 45 - 38 = 7
5T - 7
The 50th Term is:
5 x 50 = 250
∴ 250 – 7 = 243
To Test:
T-Number 30
5 x 30 = 150
∴150 – 7 = 143
Relationships
