Sierpinski triangle? I need the formula for the area of the shaded region in stage n. Help!?

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Sierpinski triangle? I need the formula for the area of the shaded region in stage n. Help!?

I need to find the area of the shaded triangles in stage in for the Sierpinski triangle. I know the formula for the smallest number of white triangles in each stage (n) is 3^(n-1) but that's only the first half of the problem. Please help!

2007-10-14 12:32:34 · 2 answers · asked by Lillie 3 in Science & Mathematics ➔ Mathematics

**** I need to find the area of the shaded region in stage N not stage "in."****

2007-10-14 12:39:36 · update #1

2 answers

Hope this helps you.

2007-10-14 13:28:26 · answer #1 · answered by 'Old & Cudley' 7 · 0⤊ 1⤋

Sierpinski Triangle Area

2016-11-04 11:23:07 · answer #2 · answered by ? 4 · 0⤊ 0⤋

looks like the sum (from k=0 to infinity) of 3^k where k is the iteration 0th iteration: 1 1st: 1+3^1 = 1+3 2nd: 1+3+3² = 1+3+9 : : nth: 1+3+9+27+...+3^n

2016-03-13 08:36:05 · answer #3 · answered by Anonymous · 0⤊ 0⤋