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May 30, 2015

May 30, 2015

Posted by **anonymous** on Thursday, October 28, 2010 at 10:28am.

- math -
**jai**, Thursday, October 28, 2010 at 10:37amwhite: 3 9 27

black: 1 4 13

notice that for the white triangle,,

let n = number of terms,, if n=1 , white=3, if n=2, white=9, thus the pattern for white is

white = 3^n

for the black, notice that the next term would be the sum of previous values of both white and black,, for instance, if n=2, black=4 because 3 (number of white at n=1) plus 1 (number of black at n=1) is equal to 4,, at n=3, black = 13 because 9+4=13,, just follow this pattern until you reach n=15.

hope this helps. :)

- math -
**landon**, Monday, March 30, 2015 at 4:56pmSuppose the area of the original equilateral triangle (iteration 0) is 80 square inches. What is the area of each of the smaller triangles formed in iteration 1? How do you know?