WOLFRAM|DEMONSTRATIONS PROJECT

Geometric Series Based on Equilateral Triangles

pattern

1

2

3

4

number of colors

1

2

3

4

number of triangles per row

3

number shaded per row

show areacomputation

show total area in

blue

red

green

yellow

2

1

4

This Demonstration shows a variety of geometric series based on the areas of equilateral triangles. You can display the first several terms of the geometric series along with its sum and change the first term and common ratio by using more than one color. All sums are based on the assumption that the area of the largest triangle is 1.