G285 2021 Fall Problem Set
Revision as of 00:35, 9 July 2021 by Geometry285 (talk | contribs)
Welcome to the Fall Problem Set! There are problems, multiple-choice, and free-response.
Problem 1
Larry is playing a logic game. In this game, Larry counts , and removes the number for every th move, skipping for , and then increments by one. If starts at , what is when Larry counts his th integer? Assume
Problem 2
Let be a right triangle with right angle at , and . Let denote the intersection of the cevian dropped from onto such that . If the reflection of point across lies on the circumcircle of as , and $\sin(BAC)<\frac{5}[8}$ (Error compiling LaTeX. Unknown error_msg), find the smallest possible integer radius of the circumcircle of .