Question

The total number of shaded triangles in the first 4
Sierpinski triangles is 40.
Which formula would you use to find the total
number of shaded triangles in the first 10
Sierpinski triangles?
O Sn = (1 - 310)/(-2)
o Sn= (1 – 310 )/(2)
o Sn = (1 - 310)/(3)

Answer 1

Answer:

First question:

First: 1, Second: 3, Third: 9, Fourth: 27.

Second question:

S(n)= (1-3^10)^I(-2)

( Answer A )

Third Question:

29,524

Step-by-step explanation:

was correct on edg 2020

Answer 2

First: 1, $Second: 3, Third: 9, Fourth: 27.$

Second 2. S(n)=$(1-3^10)^I(-2)$

Third 3. $29,524$

So the correct answer is option A, Sn = (1 - 310)/(-2).

What is the formula for the Sierpinski triangle?

We can break up the Sierpinski triangle into 3 self-similar pieces (n=3) then each can be magnified by a factor m=2 to give the entire triangle. The formula for dimension d is n = m^d where n is the number of self-similar pieces and m is the magnification factor.

How many triangles are there in the Sierpinski triangle?

The Sierpinski triangle may be constructed from an equilateral triangle by repeated removal of triangular subsets: Start with an equilateral triangle. Subdivide it into four smaller congruent equilateral triangles and remove the central triangle.

Learn more about the Sierpinski triangle here: https://brainly.com/question/2660304

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