Proof Without Words : The Sum of the First n Odd Integers is a Perfect Square

Authors

  • Ritam Sinha Department of Mathematics, Ramakrishna Mission Vivekananda Centenary College, Rahara, West Bengal 700 118, India

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. hio ournal of chool athematics, 89(1). etrieved from http://voyager.janeway.systems:9999/index.php/OJSM/article/view/8790

Issue

Vol. 89: Fall 2021

Section

Articles

License

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