Who is asking: Student Level: Secondary
Question: I noticed the other day that if you substract two consecutive squared positive numbers, you end up with the same result as if you add up the two numbers.
Ex. 5 and 6 (2 consecutive positive numbers)
A more algebric view:
I wondered if this rule had a name, and who discovered it. Tanx in advance.Hi,
This is a really nice observation. I expect that the person who first discovered it did so exactly as you did. By making an observation when doing some arithmetic.
Your algebraic expression is the key to seeing what is going on. Consider