An inequality with many unknowns

Understand the problem Let be positive real numbers such that . Prove that Source of the problem Singapore Team Selection Test 2008 Topic Inequalities Difficulty Level Medium Suggested Book Inequalities by BJ Venkatachala Start with hints Hint 0Hint 1Hint 2Hint 3Hint...

Looks can be deceiving

Understand the problem Find all non-zero real numbers which satisfy the system of equations: Source of the problem Indian National Mathematical Olympiad 2010 Topic Algebra Difficulty Level Medium Suggested Book An Excursion in Mathematics Start with hints Hint 0Hint...

Linear recurrences

Linear difference equations Definition A linear difference equation is a recurrence relation of the form . If , then it is called homogeneous. In this article, we shall also assume for convenience. The name “difference equation” is a nod to the fact that...