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2006 UNCO Math Contest II Problems/Problem 3

Revision as of 03:05, 21 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == The first 14 integers are written in order around a circle. Starting with 1, every fifth integer is underlined. (That is <math>1,6,11,2,7,\ldots</math>). What is ...")
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Problem

The first 14 integers are written in order around a circle.

Starting with 1, every fifth integer is underlined. (That is $1,6,11,2,7,\ldots$). What is the $2006^{th}$ number underlined?

[asy] draw(unitcircle,black); pair A; for(int j=1;j<15;++j){ A=dir(90-(j-1)*(360/14)); MP(string(j),A,A); } [/asy]

Solution

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