The E number is the top left hand number in the E.
E+1 E+2 E+3
E+8
E+16 E+17 E+18
E+24
E+32 E+33 E+34
This is my formula for any E on a 10x8 grid.
To find the E total you must add up all the numbers in the E for the formula to find the E Total in the grid (E+1, E+2 etc.)
All the numbers in the E add up to 185 and there are 11 squares in the E, then times the E number by 11 and add 185, then you get the E total of any E on a 10x8 grid.
E=5
5+(5+1)+ (5+2) + (5+8) + (5+16) + (5+17) + (5+18) + (5+24) + (5+32) + (5+33) + (5+34).
I will change my investigation around to find a new formula, I have thought of some different ways to change my investigation:
- Changing the width of the grid
- Changing the height of the grid
- Changing the width of the “E”
- Changing the height of the “E”
I have decided to change my investigation by changing the width of the grid to 10x9 (after I have found out the formula I shall increase the width by 1 each time).
This was used to gain the formula on a 10x8 grid.
Doing the sum of n+8 is the same as doing n+g (grid width). And the sum of n+16 is the same as doing n+2g etc.
This also works with all other grids. The number added on in the cell underneath the nth cell is always the same as the grid width.
This gives the formula T=11n+22g+9
1+2+3+11+21+22+23+31+41+42+43=240
(11x1)+(22x10)+9=240
This shows the formula and proves that it works.
