# Number Stairs (urgent)

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#41

Hello,

I just read through all this and it's all there, but in a really big mess with bull sh*t as well. So here is my attempt at nicly presented formula.

S = Stair size , eg a 3x3 stair s=3

G = Grid size , eg a 10x10 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

Hope this brings as much gloating joy in to your life as it has mine i have two days to finnish writng this up and cover rotation !

From Rob

--------------------------=========================-------------

Dude it works. IT WORKS!!!!!

I CAN FINALLY DO IT!

Thx Rob

I just read through all this and it's all there, but in a really big mess with bull sh*t as well. So here is my attempt at nicly presented formula.

S = Stair size , eg a 3x3 stair s=3

G = Grid size , eg a 10x10 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

Hope this brings as much gloating joy in to your life as it has mine i have two days to finnish writng this up and cover rotation !

From Rob

--------------------------=========================-------------

Dude it works. IT WORKS!!!!!

I CAN FINALLY DO IT!

Thx Rob

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#46

i'm really really stuck on the second part of the grid coursework!!!!

Can some one please give me the formula and tell me in english what you do 2 get it!

Thanku

Hayley Xx

Can some one please give me the formula and tell me in english what you do 2 get it!

Thanku

Hayley Xx

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#49

i know the formula and it works but i dont know how you guys got it. i need to explain how i got the formula. i would appreciate it if sumone told me the explanation behind the formula in simple terms.

thanks a lot.

thanks a lot.

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#50

How do you explain the final formula cos its no good if u cant explain it!!!!!!!!!!!!!1

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#51

how do you explain that the final formula is:

T=(1/2s(s+1))n+(s-1)(s+1)(s)/6g+(s-1)(s+1)(s)

when t is the total inside the stairs

s is the number of stairs

g is the grid size

and n is the bottom left corner of the stairs

now u know the formula.

T=(1/2s(s+1))n+(s-1)(s+1)(s)/6g+(s-1)(s+1)(s)

when t is the total inside the stairs

s is the number of stairs

g is the grid size

and n is the bottom left corner of the stairs

now u know the formula.

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#52

THE FORMULA IS:

T=(1/2S(S+1))N+((S-1)(S+1)(S)/6)G+(S-1)(S+1)(S)

WITH THE LETTERS SAME AS ABOVE!!!!!!!!!!!!!

THERE U GO!!!!!!!!!!!!!!!!!!!!!!!!!!

T=(1/2S(S+1))N+((S-1)(S+1)(S)/6)G+(S-1)(S+1)(S)

WITH THE LETTERS SAME AS ABOVE!!!!!!!!!!!!!

THERE U GO!!!!!!!!!!!!!!!!!!!!!!!!!!

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#54

thanx to everyone who wrote on here, u all helped me out BIG time. Thanx again. Luv sam x

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#55

I would like to know how u solved this equation. It is useless if i have the formulae but can't prove it.

S = Stair size , eg a 3x3 stair s=3

G = Grid size , eg a 10x10 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

S = Stair size , eg a 3x3 stair s=3

G = Grid size , eg a 10x10 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

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#56

i dont understand. Rob, ur wrong and so is billy and that guy that wrote Dude bla bla. and if u go for a walk, y would i come back with a walk. ur weird. u guys are not doing it right!

Formula for part 1 in a 10x10 grid =

number of boxes in step x corner number + 44

or number of boxes in step x top number - 76

Formula for part 1 in a 10x10 grid =

number of boxes in step x corner number + 44

or number of boxes in step x top number - 76

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#57

when he said *this is dire* he meant that this is urgent as the meaning of *dire* is posted above...it did not mean that his name is dire

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#58

Ok I am not really sure what u have all been explaining, but I have worked out and explained step stairs from 2 - 5. Then I did one of those summary grids and worked out (using the pattern in it the formulas) upto a 10 step stair. Then we have to work out what x step stair is, but how the hell do I do that? Anyone got any ideas?

I hope this is right but my summary table looks like this...

Numb of Formula for T=stair total

Step Stair

2 3n+g+1

so you )+3)+3)+3

3 6n+ 4g + 4

so you )+4)+6 )+6

4 10n+10n+10

so you )+5 )+10)+10

5 15n+20g+20

so you )+6 )+15 )+15

6 21n+35g+35

etc +7 +21 +21

7 28n+56g+56

etc +8 +28 +28

8 36n+84g+84

+9 +36 +36

9 45n+120g+120

+10 +45 +45

10 55n+165g+165

x ????????????

I hope that makes sense! so basically the 1st bit is adding the next step (eg 3 you add 4 to the next)

amd the other two are the same values but one is with a g and u get it by taking away the g number b4s eg 4g the next is 10g so you add 6. this is so hard to explain so just have a look at it all your work and hopefully it will click. I am rambelling on now so I will go! Thanxs for ALL your help!

Love

Hannah x

P.S the layout is all mucked up wen u submit it!

I hope this is right but my summary table looks like this...

Numb of Formula for T=stair total

Step Stair

2 3n+g+1

so you )+3)+3)+3

3 6n+ 4g + 4

so you )+4)+6 )+6

4 10n+10n+10

so you )+5 )+10)+10

5 15n+20g+20

so you )+6 )+15 )+15

6 21n+35g+35

etc +7 +21 +21

7 28n+56g+56

etc +8 +28 +28

8 36n+84g+84

+9 +36 +36

9 45n+120g+120

+10 +45 +45

10 55n+165g+165

x ????????????

I hope that makes sense! so basically the 1st bit is adding the next step (eg 3 you add 4 to the next)

amd the other two are the same values but one is with a g and u get it by taking away the g number b4s eg 4g the next is 10g so you add 6. this is so hard to explain so just have a look at it all your work and hopefully it will click. I am rambelling on now so I will go! Thanxs for ALL your help!

Love

Hannah x

P.S the layout is all mucked up wen u submit it!

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#59

Hmmmm... well... I came across this thread when I needed help myself on my mathematics coursework. I was also stuck on part 2 like most of you and this piece of cousework is due in, in 2 days! Well I'll just tell you what I know that would help you on this coursework:

1. If you want challenge, use the s-number as the top left of the stair shape... to make life easier, choose the bottom left hand corner...

2. For the second part of the coursework, all I can say atm is that the formula is {[s(s-1)]/2}n + Xg + X.

X is the unknown to me :P

s = stair size... as in the width and the height...

n = s-number

g = grid size... e.g. grid size of 10 has like 10 numbers in each row...

X = THE UNKNOWN ><

IMPORTANT: To find X.. use the "changing differences" method... aka the "Gregory Newton Formula".

I've searched on the internet for this formula and help on it.. don't bother... it's like too complicated with all those wacky symbols. The one my teacher taught is:

(If the value of n = 0)

+ s x (1st Difference)

+ [s(s+1)]/2 x (2nd Difference)

+ [s(s-1)(s-2)]/6 x (3rd Difference)

Ok I have almost no clue how to do this... but that's about the point I got up to in my coursework. Maybe this might not help you :P Well my best advice is to ask your teacher for help on "changing differences" or the "Gregory Newton Formula"... s/he should understand where you are up to.

Oh yes... and if you want to know why the first part of the final formula is "s(s-1)]/2" it's because of TRIANGLE numbers... you'll see if you do all your working out in a systematic and orderly fashion... well I tried to help... I'm not a teacher so maybe you won't understand what I'm talking about.

yea... e-mail me if you need help on this. "[email protected] " That's my e-mail addy... I should have finished this coursework by the time you need help.

Good luck.

P.S. I will consider providing my mathematics coursework for those who need it... Make sure you do not copy any part of my coursework because it took a lot of effort. It may be used as a guide though. Just e-mail me because I probably won't look on this forum much. Just got interested in this topic XD.

1. If you want challenge, use the s-number as the top left of the stair shape... to make life easier, choose the bottom left hand corner...

2. For the second part of the coursework, all I can say atm is that the formula is {[s(s-1)]/2}n + Xg + X.

X is the unknown to me :P

s = stair size... as in the width and the height...

n = s-number

g = grid size... e.g. grid size of 10 has like 10 numbers in each row...

X = THE UNKNOWN ><

IMPORTANT: To find X.. use the "changing differences" method... aka the "Gregory Newton Formula".

I've searched on the internet for this formula and help on it.. don't bother... it's like too complicated with all those wacky symbols. The one my teacher taught is:

(If the value of n = 0)

+ s x (1st Difference)

+ [s(s+1)]/2 x (2nd Difference)

+ [s(s-1)(s-2)]/6 x (3rd Difference)

Ok I have almost no clue how to do this... but that's about the point I got up to in my coursework. Maybe this might not help you :P Well my best advice is to ask your teacher for help on "changing differences" or the "Gregory Newton Formula"... s/he should understand where you are up to.

Oh yes... and if you want to know why the first part of the final formula is "s(s-1)]/2" it's because of TRIANGLE numbers... you'll see if you do all your working out in a systematic and orderly fashion... well I tried to help... I'm not a teacher so maybe you won't understand what I'm talking about.

yea... e-mail me if you need help on this. "[email protected] " That's my e-mail addy... I should have finished this coursework by the time you need help.

Good luck.

P.S. I will consider providing my mathematics coursework for those who need it... Make sure you do not copy any part of my coursework because it took a lot of effort. It may be used as a guide though. Just e-mail me because I probably won't look on this forum much. Just got interested in this topic XD.

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#60

try this formula

TNX+(n3 -n)/6(y+1)

TNX= the Xth triangular number

n= is the size of the step eg. 3

y=the grid size

TNX+(n3 -n)/6(y+1)

TNX= the Xth triangular number

n= is the size of the step eg. 3

y=the grid size

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