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Ben's observation 
19991028 

From Emily Nghiem and Ben Rose: As a teacher at a school called Educere in Houston, I have a ninthgrade student who discovered the following shortcut last year as an eightgrader. What he noticed is that given any two consecutive integers (or n and n+1 for any rational number greater than or equal to 2), the difference between their squares was equal to the sum of the two numbers. . .
Answered by Chris Fisher and Penny Nom. 


