Inegalitate

Post Reply
alex2008
Leibniz
Posts: 464
Joined: Sun Oct 19, 2008 3:23 pm
Location: Tulcea

Inegalitate

Post by alex2008 »

Sa se determine numerele naturale n astfel incat : \( 2^{3n+1}<(n+4)^2 \)
. A snake that slithers on the ground can only dream of flying through the air.
Top
red_dog
Euclid
Posts: 26
Joined: Wed Sep 26, 2007 8:33 pm

Post by red_dog »

Pentru \( n=0 \) si \( n=1 \) inegalitatea se verifica.
Apoi se demonstreaza prin inductie ca \( 2^{3n+1}>(n+4)^2, \ \forall n\geq 2 \)
Top
Post Reply

Return to “Clasa a 9-a”