Question

determinati n natural nenul astfel incat 3/5>35/n+1>3/7​

Answer 1

3/5>35/(n+1)>3/7

3/5=(3•35)/(5•35)=105/175

35/(n+1)=(35•3)/3(n+1)=105/(3n+3)

3/7=(3•35)/(7•35)=105/245

105/175>105/(3n+3)>105/245

=>175<3n+3<245

172<3n<242

172/3<n<242/3

n∈N* => n={174/3; 177/3; 180/3; 183/3; …..240/3}

n={58; 59; 60; ….;80}