This is a short, animated visual proof demonstrating two formulas for the sum of the first n positive cubes, one in terms of consecutive odd numbers and the other in terms of the square of a sum of consecutive positive integers. We end with a bonus visualization of a direct version of Nicomachus's theorem.
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Here are five other visual proofs of sum of cubes formulas:
• Sum Cubes with Triangl...
• Sum of Cubes IV (Nicom...
• Visual Sum of Cubes II
• Sum Of Cubes I (visual...
• Visual Sum of Cubes III
This animation is based on a visual proof by Alfinio Flores from the January 1998 issue of The College Mathematics Journal (www.jstor.org/... page 61).
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14 окт 2024