Sequence challenge

[PoWW]

Hi there,

 

I hope I have placed this question in the right area.

 

I am trying to workout the rule(s) to the below numbers. Sorry about the ---, but only way to line up numbers.

 

I have managed to workout that if x=y then the result = x*1.414

I have also managed to workout that if x or y = 1 then the result (example if x=1) = y+(x/y)/2

I haven't managed to workout anything else.

 

If you can give me a few tips or direct me in the right way, I would much appreciate it.

 

Thanks for all your help in advance

 

Vincent

 

X

10--10.05--10.20--10.44--10.77--11.18--11.66--12.21--12.81--13.45--14.14

-9---9.06---9.22---9.49---9.85--10.30--10.82--11.40--12.04--12.73--13.45

-8---8.06---8.25---8.54---8.94---9.43--10.00--10.63--11.31--12.04--12.81

-7---7.07---7.28---7.62---8.06---8.60---9.22---9.90--10.63--11.40--12.21

-6---6.08---6.32---6.71---7.21---7.81---8.49---9.22--10.00--10.82--11.66

-5---5.10---5.39---5.83---6.40---7.07---7.81---8.60---9.43--10.30--11.18

-4---4.12---4.47---5.00---5.66---6.40---7.21---8.06---8.94---9.85--10.77

-3---3.16---3.61---4.24---5.00---5.83---6.71---7.62---8.54---9.49--10.44

-2---2.24---2.83---3.61---4.47---5.39---6.32---7.28---8.25---9.22--10.20

-1---1.41---2.24---3.16---4.12---5.10---6.08---7.07---8.06---9.06--10.50

-0---1.00---2.00---3.00---4.00---5.00---6.00---7.00---8.00---9.00--10.00 Y

[imatfaal]

Try squaring each figure and seeing how it relates to the x and y (and to x^2 and y^2). I think you will quickly work it out then. if not I will post the answer

Edited March 2, 2011 by imatfaal

[PoWW]

Try squaring each figure and seeing how it relates to the x and y (and to x^2 and y^2). I think you will quickly work it out then. if not I will post the answer

 

Wow, I am impressed how quickly you have resolved this.

 

Sorry, but it has been a long while since I played with maths, so very rusty. I did think it would have something to do with your suggestion, but it just isn't happening for me.

 

Just so I'm heading in the right path, I need to find the square root of each figure and try and find the relationship it has with x and y.

 

So for example taking where x=5 & y=5 the result is 7.07. Square root of result = 2.658947.

 

I like you approach btw

[imatfaal]

Hello Poww - no you have it the wrong way around. What I said was take the square of each of number - so for x=4 y =4 you would take 5.656854 (or whatever number of decimals you have) and square it to give 32. Now try and figure a connection between 4, 4 and 32 - now see if this connection will work for another cell.

 

BTW we normally call x the variable that goes across the page and y the vertical one.

[PoWW]

Hello Poww - no you have it the wrong way around. What I said was take the square of each of number - so for x=4 y =4 you would take 5.656854 (or whatever number of decimals you have) and square it to give 32. Now try and figure a connection between 4, 4 and 32 - now see if this connection will work for another cell.

 

BTW we normally call x the variable that goes across the page and y the vertical one.

 

Right, understand and will go try that out.

 

Thanks about the x&y positions. I did say it has been rather a long time since enjoying the challenges of maths.

 

Thank you ever so much for your help. I have finally figured out the answer.

 

Result = square root of (x squared + y squared)

 

I actually feel a little intelligent.

 

Is there a way I can spend you praise for the handling of this question??

[imatfaal]

Poww - glad to help. Once I saw 1.414 (square root of two jumps out at you) and 14.14 (ie ten times the sqrt2) then the route to the answer was pretty clear. And I guess you have already sent me praise (many thanks) by hitting the green plus badge at the bottom right hand corner of my posts.

[Mr Skeptic]

Incidentally, that formula is very important. It is the formula for distance if you know the x and y offsets, or if you prefer for the hypotenuse of a right triangle (which is the best kind of triangle).