Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2006 UNCO Math Contest II Problems/Problem 3

Revision as of 02:05, 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 ...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

See Also

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2006_UNCO_Math_Contest_II_Problems/Problem_3&oldid=65353"