a2 and p2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Working on a practice problem for my upcoming exam. Need some help I’m stumped.
QUESTION 1
Under the proposed rule above, using the image given, determine a2 and p2.
Transcribed Image Text:QUESTION 1 Under the proposed rule above, using the image given, determine a2 and p2.
Instructions
Throughout this lab, we will be transforming a triangle into the beginning stages of a fractal, called Sierpinski's triangle. Start with a solid
equilateral triangle with sides of length 1.
We will create two sequences, one whose terms are the area of the fractal at each step and another whose terms are the perimeter at each
step.
We will denote the terms of the area sequence by an and the terms of the perimeter sequence by Pn.
In order to create Sierpinski's triangle, at each step, we will be implementing the rule that each
will be replaced with
We can see that a₁ =
√√3
4
and p₁ = 3
Transcribed Image Text:Instructions Throughout this lab, we will be transforming a triangle into the beginning stages of a fractal, called Sierpinski's triangle. Start with a solid equilateral triangle with sides of length 1. We will create two sequences, one whose terms are the area of the fractal at each step and another whose terms are the perimeter at each step. We will denote the terms of the area sequence by an and the terms of the perimeter sequence by Pn. In order to create Sierpinski's triangle, at each step, we will be implementing the rule that each will be replaced with We can see that a₁ = √√3 4 and p₁ = 3
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