S = Stair size, eg a 3 x 3 stair s = 3 G = Grid size, eg a 10 x 10 grid = 10 A = Amount of ‘n’ N = bottom left hand corner of shape in 2 steps: 1) (Sx (S 1) /2) = A 2) AN (G 1) x ( (sxsxs-s) /6) = THE ANSWER SOME EXAMPLE WORDINGS TO USE IN YOUR WRITE-UP… At the time I was not really experienced with liquor, but willing to ... 1 Number Grid From the formula (10 wy-0 w 10 x 10), when x is substituted with 5 and y is substituted with 1 (5 and 1 being the coordinates of the keystone of the step stair positioned lower on the grid above), an answer of 140 is calculated. aka the “Gregory Newton Formula.” I’ve searched on the internet for this formula and help on it… it’s like too complicated with all those wacky symbols. [ (wy-w x) 3] [ (wy-w x) w] [ (wy-w x) w 1] [ (wy-w x) w 2] [ (wy-w x) 2 w] [ (wy-w x) 2 w 1] [ (wy-w x) 3 w] This can be simplified to: 10 wy-0 w 10 x 10 From these formulae, when x is substituted with 2 and y is substituted with 2 (2 and 2 being the coordinates of the keystone of the step stair positioned lower on the grid above), an answer of 230 is calculated. hotel I got out of the car crawling to the steps, and fell asleep there. So we were having our fun there and by this time I was tired of drinking beer, needed a little change ... 5 6 7 8 13 14 15 21 22 29 = 140 From the formula (10 wy-0 w 10 x 10), when x is substituted with 2 and y is substituted with 6 (2 and 6 being the coordinates of the keystone of the step stair positioned higher on the grid above), … The one my teacher taught is: (If the value of n = 0) s x (1 st Difference) [s (s 1) ]/2 x (2 nd Difference) [s (s-1) (s-2) ]/6 x (3 rd Difference) Ok I have almost no clue how to do this…
The numbers in the grid will go horizontally from left to right.
Text Box: In the square grids I shall call the sides N.
That's a rectangle: 34 34 36 37 38 44 44 46 47 48 You said your formula was for squares, so let's test it out on one.
34 34 36 37 38 44 44 46 47 48 54 54 56 57 58 64 64 66 67 68 74 74 76 77 78 The answer is 38*74 - 34*78 = 160.
I have colour coded which numbers should be multiplied by which.
Hey, I really need some help with the Maths 'Opposite Corners' grid coursework, and I'm going out to the lostprophets concert tonight, and I really want to get it done before I go.
Look at the green square which contains the numbers , 3, 12$ and $.
Do you notice anything about the sum of the numbers that are diagonally opposite each other? What happens this time when you look at the numbers diagonally opposite each other? You could try with other squares which have four numbers in them.
Please let me know if you spot any mistakes or ways to improve it when I try it again.
Investigating The Answer When The Products Of Opposite Corners on Number Grids Are Subtracted Introduction The purpose of this investigation is to explore the answer when the products of opposite corners on number grids are subtracted and to discover a formula, which will give the answer in all cases.