Conc.interj."Grigore Moisil" Urziceni 2010 probl.1

Moderators: Laurian Filip, Beniamin Bogosel, Filip Chindea

Post Reply
User avatar
Andi Brojbeanu
Bernoulli
Posts: 294
Joined: Sun Mar 22, 2009 6:31 pm
Location: Targoviste (Dambovita)

Conc.interj."Grigore Moisil" Urziceni 2010 probl.1

Post by Andi Brojbeanu »

Demonstrati ca pentru orice numar natural \( n\ge 2 \), are loc inegalitatea
\( \frac{1}{n+1}(1+\frac{1}{3}+\frac{1}{5}+....+\frac{1}{2n-1})>\frac{1}{n}(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+....+\frac{1}{2n}) \)
Top
Post Reply

Return to “Clasa a IX-a”