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Ben's observation |
1999-10-28 |
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From Emily Nghiem and Ben Rose:
As a teacher at a school called Educere in Houston, I have a ninth-grade student who discovered the following shortcut last year as an eight-grader. 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.
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Answered by Chris Fisher and Penny Nom. |
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