The problem is to find out for what values of p (for integers between 0 and 13), is p/13 in the cantor set. I know that they are only in the cantor set if they can be expressed in the ternary expansion to base 3 using only 2's and 0's. I have a lot of problems with these ternary expansions so I was wondering if you guys could check my work quick, and let me know where I have gone wrong.
THANKS
1/13=
_3)
2/13=2x1/13=(.004004...)=
_3)
3/13=3x1=
_3=(.02002...)_3)
4/13=2x2/13=
_3=(.022022...)_3)
5/13=4/13+1/13=
_3+(.022022...)_3=(.02110211)_3)
Should be _3)
.
6/13=3x2/13=
_3=(.11011...)_3)
7/13=6/13+1/13=
_3+(.002002...)_3=(.112112...)_3)
8/13=7/13+1/13=
_3+(.112112...)_3=(.111111...)_3)
Should be _3)
.
9/13=3x3/13=
_3=(.2002002...)_3)
10/13=9/13+1/13=
_3+(.002002...)_3=(.2022022...)_3)
11/13=2/13+9/13=
_3+(.2002002...)_3=(.211211{\color{red }...})_3)
12/13=3x4/13=
_3=(.22022{\color{red}0...})_3)
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_3=(.22022)_3)
Originally Posted by eg37se 
