Patrate perfecte

Moderators: Bogdan Posa, Laurian Filip

Post Reply
Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Patrate perfecte

Post by Marius Mainea »

a) Sa se arate ca numarul \( (2k+1)^3-(2k-1)^3 , k\in \mathbb{Z} \) este suma a trei patrate perfecte.

b) Sa se reprezinte numarul \( (2n-1)^3-2 , n\in\mathbb{N^{\ast}} \) ca suma a 3n-1 patrate perfecte mai mari decat 1.
Top
Post Reply

Return to “Clasa a VIII-a”