step stair investigation Watch
(0.5n^2 + 0.5n)
The formula above shows the formula for finding out how many squares there are in total inside the step-stair
IE: total amount of squares in the 4-step stair is 10.
n = the step-stair you are looking at:
IE a 4-step stair.
so the formula to find out how many squares are inside a 4-steo stair would be as follows:
(0.5x4^2 + 0.5x4) = 10
dunno if i can help anyone, but here r the formulas ive come up with (when the stair number is the number in the bottom left hand corner an this number is s):
3-step stair on 10x10 grid: 6s+44
" " 9x9 grid: 6s+40
" " 8x8 grid: 6s+36
" " 7x7 grid: 6s+32
you need to write out an explanation like this:
s s+1 s+2 (like its a 3-step stair)
add them all together an you get
s+s+1+s+2+s+g+s+g+1+s+2g an you get 6s+4g+4 which is a formula for a 3-step stair on any grid.
The ones for the other step stair are pretty much the same.
BUT I REEEEEELY NEED HELP WITH THE FORMULA FOR ANY STAIR ON ANY GRID!
apparently its something to do with triangle numbers according to my teacher.....
Guyz u no u don't need the final final formula which combines everything to get an A*. All u need to get up to is the formula for changing the size of the step stairs and u explain all the formulas u get in detail u will get an A*.
Help pls, ive gotta hand this in on tuesday so it can be sent of to the exam board that day!!!?!?!?!?!