The Sierpinski triangle is a fractal created from an equilateral triangle. At each stage, the "middle" is cut out of each remaining equilateral triangle(s). a. The first three stages are shown below. If the process continues indefinitely, how many triangles would be present in the ninth stage? b. At what stage are there 1,162,261,467 triangles? stage 1 stage 2 stage 3

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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grade 11 Math

11. The Sierpinski triangle is a fractal created from an equilateral triangle. At each stage, the "middle" is cut out
of each remaining equilateral triangle(s).
a.
The first three stages are shown below. If the process continues indefinitely, how many triangles
would be present in the ninth stage?
b. At what stage are there 1,162,261,467 triangles?
stage 1
stage 2
stage 3
Transcribed Image Text:11. The Sierpinski triangle is a fractal created from an equilateral triangle. At each stage, the "middle" is cut out of each remaining equilateral triangle(s). a. The first three stages are shown below. If the process continues indefinitely, how many triangles would be present in the ninth stage? b. At what stage are there 1,162,261,467 triangles? stage 1 stage 2 stage 3
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