Triangular Numbers Modulo 3 Visual Proof

Triangular Numbers Modulo 3 Visual Proof Information Guide

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Key Details

Details Infinite series: summing reciprocals of triangular numbers (visual proof) News

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Recent Updates

Details 3D Sum of Triangular Numbers (visual proof without words III) Update

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A Triangular Number Identity I (visual proof)

Products of Odd Squares and Triangular Numbers (visual proof - updated version)

Odd Squares as Difference of Triangular Numbers (visual proof)

Sum of Triangular Numbers I (visual proof)

A Multiplicative Triangular Number Recurrence (visual proof)

Triangular Numbers | 1+2+3+...+n = n(n+1)/2

Squares Modulo 3 (visual proof)

Squares from alternating triangles (visual proof without words)

Perfect Numbers (even ones) are Triangular (visual proof) -- with bonus open problem!

Triangular Numbers (III)

Sum of Triangular Numbers II (visual proof via cannonballs)

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Last Updated: October 26, 2026

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Details Alternating Sum of Triangular Numbers (visual proof without words) Update

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Summary

This is a short, animated (wordless) A simple visualization of the standard trick to calculate the n-th Please visit isallaboutmath.comRecursive Relation for

Triangular Numbers Modulo 3 Visual Proof.pdf

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