Can You Be In The 1%? | Math Olympiad Mathematics Problem

Math Olympiad challenge! This Math Olympiad problem looks impossible at first, but Math Olympiad techniques make the solution surprisingly elegant. Learn how conjugates transform the expression into a telescoping series, allowing every middle term to cancel until only the first and last terms remain. In this video, we simplify each fraction using the conjugate, discover the telescoping pattern, and prove why the entire summation equals 9. This is a beautiful algebra trick often seen in olympiad mathematics and advanced problem solving. If you enjoy elegant math proofs, olympiad tricks, and challenging algebra problems, don't forget to like, subscribe, and share this video! #MathOlympiad #Mathematics #Algebra