Olimpiada Grecia 2000

Moderators: Laurian Filip, Beniamin Bogosel, Filip Chindea

Post Reply
Marcelina Popa
Bernoulli
Posts: 208
Joined: Wed Mar 05, 2008 3:25 pm
Location: Tulcea
Contact:
Contact Marcelina Popa

Olimpiada Grecia 2000

Post by Marcelina Popa »

Pornind de la numerele \( \frac{1}{1},\ \frac{1}{2}, \ \frac{1}{3},\ ...,\ \frac{1}{100} \), se repeta urmatoarea operatie pana ce ramane un singur numar: se aleg doua numere \( a \) si \( b \), la intamplare, si se inlocuiesc cu \( ab+a+b \).

Care va fi numarul ramas la sfarsit?
Top
Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Post by Marius Mainea »

vezi aici
Top
Post Reply

Return to “Clasa a IX-a”