Once I have done this I will predicate the n’th term then test to see if my formula works.
Data
This data that I have collected was from a 10, by 10 grids. The data is presented in a table below.
*Number in Red is the different that the Stair total is going up in.
Conclusion
From the data I have collected I found that if the stair shape moves across the bottom of the grid the stair total will increase by 6.
If I move the stair shape across the middle of the 10, by 10 grid the stair total should also increase by 6.
This also goes up in 6’s
Now that I have found a common different I will try and find a formula.
Formula
First of all I am going to add up all the stair shapes together replacing the number with a letter. The letter I am going to use is the letter N.
No that I have created this I will try and create a formula for the 10, by 10 grid.
If the bottom left hand number of the stair shape is the N’s term then this formula will work.
6N+44 = 6 *? +44
If the stair shape is in the centre of the page and you want to find the stair total then this is how you do it.
(6N+44) 6*34+44 = 248
I will now test my formula
Prediction
I predicted that if the stair shape is on the top right hand corner the stair total will be 512.
I will now test this prediction.
My prediction works.
Rule
The rule of the 10, by 10 grid is that the stair shape formula only works on a 10, by 10 grip, if the N’ term is changed the formula will not work i.e. the N’ term is any other number apart from the bottom left hand side of the shape. The other rule is that the last number that the N’ term can be is 78.
