- #1
mathworker
- 111
- 0
IMO-2012:
let \(\displaystyle a_2,a_3,...,a_n\) be positive real numbers that satisfy a2.a3...an=1 .Prove that,
\(\displaystyle (a_2+1)^2.(a_3+1)^3...(a_n+1)^n>n^n\)
hint:
let \(\displaystyle a_2,a_3,...,a_n\) be positive real numbers that satisfy a2.a3...an=1 .Prove that,
\(\displaystyle (a_2+1)^2.(a_3+1)^3...(a_n+1)^n>n^n\)
hint:
Use A.M>G.M