MathDB

462

Part of 1987 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 462 All Soviet Union MO 1987 (2n + 1)^n >= (2n)^n + (2n - 1)^n

Source:

8/7/2019
Prove that for every natural nn the following inequality is held: (2n+1)n≥(2n)n+(2n−1)n(2n + 1)^n \ge (2n)^n + (2n - 1)^n
algebrainequalities