Salut ma puteti ajuta?
Se considera sirul definit prin relatia de recurenta [tex]a_{n+1} = \frac{2a_{n}+3 }{a_{n} }[/tex] ; [tex]a_{0} \ \textgreater \ 0[/tex]
a) Aratati ca a_{n} >2, oricare ar fi n[tex]\geq[/tex] 1.
b) Aratati ca [tex]|a_{n+1} -3| \ \textless \ \frac{1}{2} |a_{n} - 3|[/tex] , oricare ar fi n [tex]\geq[/tex] 0.