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September 6th, 2017, 10:13 AM  #1 
Newbie Joined: Sep 2017 From: Usa Posts: 4 Thanks: 0  (People and Relationships) Can You Find The Equation?
I discovered something cool about points and lines, wondering anyone else knew about this. I call it people and relationships, point=people and line=relationship There is 1 relationship between every 2 people. Here is the table: # people  # relationship 00 10 21 33 46 510 Take a look at this picture (Click) There is an obvious pattern in the table. See if you spot it. And see if you can find out the whole equation. 
September 6th, 2017, 10:48 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,972 Thanks: 2222 
The sum of the numbers in each row is the second number in the next row. Is that what you mean? The "whole equation" for what in terms of what? 
September 6th, 2017, 11:50 AM  #3  
Newbie Joined: Sep 2017 From: Usa Posts: 4 Thanks: 0  Quote:
# people = x # relationship = y Example equation y=4(x)²+5 Last edited by Logix; September 6th, 2017 at 12:22 PM.  
September 6th, 2017, 01:44 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,972 Thanks: 2222 
$\displaystyle y = \binom{x}{2}$

September 6th, 2017, 02:02 PM  #5 
Newbie Joined: Sep 2017 From: Usa Posts: 4 Thanks: 0 
Check your equations by substituting the numbers on my table into your equation. Hint: if you graph the table, it would look like a quadratic equation.
Last edited by Logix; September 6th, 2017 at 02:04 PM. 
September 6th, 2017, 02:57 PM  #6 
Global Moderator Joined: Dec 2006 Posts: 20,972 Thanks: 2222 
For example, $\displaystyle \binom52 = 5(4)/2 = 10$.

September 6th, 2017, 03:23 PM  #7 
Newbie Joined: Sep 2017 From: Usa Posts: 4 Thanks: 0  
September 6th, 2017, 04:32 PM  #8 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 901 Thanks: 61 Math Focus: सामान्य गणित  

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