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Number Stairs Investigation
Judging by this, the first part of the overall equation for a 3 step stair is 6n +?
This shows the difference between 6n and T as + 44
Therefore the equation for a 3 step stair on a 10x10 grid is 6n + 44
The same sequence can be used for a 4 step stair
Therefore the equation for a 4 step stair on a 10x10 grid is 10n + 110
Following the same sequence you find that the equation for a 5 step stair is 15n + 220, 6 stair ...
Judging by this, the first part of the overall equation for a 3 step stair is 6n +?
This shows the difference between 6n and T as + 44
Therefore the equation for a 3 step stair on a 10x10 grid is 6n + 44
The same sequence can be used for a 4 step stair
Therefore the equation for a 4 step stair on a 10x10 grid is 10n + 110
Following the same sequence you find that the equation for a 5 step stair is 15n + 220, 6 stair is 21n + 365 etc.
T=sa³+sb²+sc+d
s=0, T=0, d=0
s=1, T=0, a + b + c=0
s=2, T=1, 8a + 4b + 2c = 1
s=3, T=4, 27a + 9b + 3c = 4
s=4, T=10, 64a + 16b + 4c =10
T= 0.1666(s³) + 0(s²)-0.1666s-0
T= 0.1666(s³) - 0.1666s