Odd numbers and square roots to infinity

Suggested Proofs Odd numbers and square roots to infinity

1

4 years ago

David

open1

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My formula was discovered after I noticed that 3 times 3 plus 4 times 4 equals 5 times 5, an equation that I saw used in concrete construction when we set concrete forms and measured the corners to make sure the slab would be square. Called the 3-4-5. After thinking about the correlation between these numbers, I realized that adding the next “odd number“ takes you to the next “square root”. It starts at 0 times 0, and goes to infinity.
See image to understand the pattern. I shared my pattern with a man who writes math textbooks for college students, Pat McKeague from San Luis Obispo, California, and he told me it was the Fibonacci sequence, but it’s NOT the Fibonacci sequence.