Question

va rog frumos dau coroana plus multe puncte

Answer 1

(3/5)^k:(3^(k+2)+6^(k+2)/(5^(k+2)+10^(k+2)=(5/3)^k•(3^k•3^2+6^k•6^2)/(5^k•5^2+10^k•10^2)=(5/3)^k•[3^k(3^2+2^k•6^2)]/[5^k(5^2+2^k•10^2)]=(3^2+2^k•6^2)/(5^2+2^k•10^2)=(9+2^k•36)/(25+2^k•100)=[9(1+4•2^k)]/[25(1+4•2^k)]=9/25