Question

cho m,n là các số nguyên dương 

A=2+4+6+...+2m/m

B=2+4+6+...+2n/n

biết A>b so sánh m,n

giúp mình nhanh nhe minh tick cho

Answer 1

\(A=\left(\frac{2+2m.m}{2m}\right)=\left(\frac{2\left(1+m\right).m}{2m}\right)=1+m\)

\(B=\left(\frac{2+2n.n}{2n}\right)=\left(\frac{2\left(1.n\right).n}{2n}\right)=1.n\)

Do đó A < b => 1 + m < 1 + n => m < n

Answer 2

\(A=\frac{\left(2+2m\right).m}{2m}=\frac{2\left(1+m\right).m}{2m}=1+m\)

\(B=\frac{\left(2+2n\right).n}{2n}=\frac{2\left(1+n\right).n}{2n}=1+n\)

do A < b => 1 + m < 1 +n => m < n