Exploring Triangular Numbers

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2013-06-15 16:32

Function Sequence

This example visually demonstrates the relationship between triangular and rectangular numbers, helping students understand the concept of sequences. Using GeoGebra commands like Sequence and Polygon, students can dynamically observe the generation process of triangular numbers. Suitable for middle school and above students to learn about sequences and functions.

GeoGebra Commands & Parameters

Sequence(Sequence[(x - j + 1)^(2) + (y - i + 1)^(2) = 0.25, i, 1, j], j, 1, n) → seqcir
Sequence(Sequence[(x - j + 1)^(2) + (y - i + 1)^(2) = 0.25, i, 1, j], j, 1, n) → list1
Sequence(Sequence[(x - j + 1)^(2) + (y - n - 1 + i)^(2) = 0.25, i, 1, n + 1 - j], j, 1, n) → list2
Sequence(Sequence[(x - j + 1)^(2) + (y - n - 1 + i)^(2) = 0.25, i, 1, n + 1 - j], j, 1, n) → list3
Polygon(B, C, D, A) → poly1, b, c, d, a
Textfield(n) → inputBox1