Proof Without Words: Sums of Odd Integers

By representing odd integers as deficient 2 x k rectangles it is shown that the sum of the first n odd integers is a square.

Institutions

Publication Details

Journal
Ohio Journal of School Mathematics
Published
2025-09-15
DOI
https://doi.org/10.18061/ojsm.6682
Primary Topic
Intellectual Property Law
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Proof Without Words: Sums of Odd Integers

Ohio Journal of School Mathematics
Intellectual Property Law
article

Proof Without Words: Sums of Odd Integers

article en

Abstract

By representing odd integers as deficient 2 x k rectangles it is shown that the sum of the first n odd integers is a square.

Ohio Journal of School MathematicsVol. 101(1)
University of Wuppertal (DE)
Openalex Percentile: Top 62%
Intellectual Property Law
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.