1/1.2+1/3.4+....+1/99.100=1-1/2+1/3-1/4+......+1/99-1/100=1+1/2-2/2+1/3+1/4-2/4+1/5+1/6-2/6+.........+1/99+1/100-2/100
=1+1/2-1+1/3+1/4-1/2+........+1/99+1/100-1/50
=(1+1/2+1/3+......+1/100)-(1+1/2+1/3+.......+1/50)=1/56+1/57+......1/100
=>M=N
1/1.2+1/3.4+....+1/99.100=1-1/2+1/3-1/4+......+1/99-1/100=1+1/2-2/2+1/3+1/4-2/4+1/5+1/6-2/6+.........+1/99+1/100-2/100
=1+1/2-1+1/3+1/4-1/2+........+1/99+1/100-1/50
=(1+1/2+1/3+......+1/100)-(1+1/2+1/3+.......+1/50)=1/56+1/57+......1/100
=>M=N
Chứng minh rằng:
a)\(\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}< \frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+...+\frac{1}{99.100}\)
b)\(\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+...+\frac{1}{99.100}< 1-\frac{1}{2.3}\)
Cần gấp, ai nhanh mik tick nha
Các bạn giúp mình bài tập này nhé!
1.Cho \(A=\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+...+\frac{1}{99.100}\)
Chứng minh:\(\frac{7}{12}< A< \frac{5}{6}\)
Mình cảm ơn các bạn nha~ Ai nhanh và đúng mình sẽ tick!
Chứng minh rằng:
\(\frac{1}{1.2}+\frac{1}{3.4}+\frac{1}{5.6}+....+\frac{1}{49.50}=\frac{1}{26}+\frac{1}{27}+\frac{1}{28}+....+\frac{1}{50}\)
Ai làm nhanh, chi tiết thì mk tick cho nhé!!!
a) A = 1/1.2+ 1/3.4+ 1/5.6+...+ 1/99.100
CMR: 7/12<A< 5/6
b) CMR: 1/1.2+ 1/3.4+ 1/5.6+...+1/49.50 = 1/26+ 1/27+ 1/28+...+1/50
1/1.2+1/3.4+1/5.6+...+1/99.100
Chứng minh rằng:
1/1.2+1/3.4+1/5.6+...+1/49.50=1/26+1/27+1/28+...+1/50
GIÚP MÌNH VS <33333
Giúp mình nha:
Tính (1/101+ 1/102+.....+1/200): (1/1.2+1/3.4+1/5.6+.....+1/199.200)
Mình cần gấp cảm ơn các bạn !
cmr A=1/1.2+1/3.4+1/5.6+.......+1/49.50=1/26+1/27+........+1/50
CMR: 1/1.2+1/3.4+1/5.6+....+1/49.50+1/26=1/27=....=1/50