Proof Without Words : The Sum of the First n Odd Integers is a Perfect Square
Abstract
In this proof without words, we prove wordlessly the identity 1+3+5+...+(2n-1)=n^2.References
Chakraborty, B. (2018). Proof without words: The sum of squares. Mathematical Intelligencer 40(2), 20.
Lehel, J. (1991). Proof without Words: The Sum of Odd Numbers. Mathematics Magazine 64(2), 103.
Nelsen, R. (1993). Proofs without Words: Exercise in Visual Thinking. Washington D.C.: The Mathematical Association of America.
Nelsen, R. (2015). Proofs without Words III: Further Exercise in Visual Thinking. Washington D.C.: The Mathematical Association of America.
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Published
2022-01-29
How to Cite
Sinha, R. (2022). Proof Without Words : The Sum of the First n Odd Integers is a Perfect Square. Ohio Journal of School Mathematics, 89(1). Retrieved from https://ohiomathjournal.org/index.php/OJSM/article/view/8790
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Copyright (c) 2022 Ritam Sinha
