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Take and Make: Proof without Words Sum of Odd Numbers – Freese Transformation

Lauren SiegelMaking Math, Math is fun!, Mathematical Artifacts, Sharing Ideas, Take and MakeLeave a Comment

This Geometric Transformation  shows how the sum of the first 6 consecutive odd numbers is the square of 6, or 36.  It’s the classic “proof without words”.  Freese’s Transformation also shows this relationship, but his “squares” have sides sqrt 1, sqrt 3, sqrt 5, and so on.

Freese Corel File, Adobe Illustrator File, Jpg printable

 

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