so sanh c va 5/6
c = 1/41+1/42+1/43+...+1/80
so sanh A=\(\frac{1}{41}+\frac{1}{42}+\frac{1}{43}+...+\frac{1}{80}\)va B=\(\frac{7}{12}\)
1/41+1/42+1/43+...+1/79 va 7/12( So sanh )
lam nhanh minh tick cho5 cai nha
ta có
7/12 = 4/12 +3 /12 = 1/3 + 1/4 = 20/60 + 20/80
1/41 + 1/42 + 1/43 + ....+ 1/79 + 1/80 = ( 1/41 + 1/42 + 1/43 + ...+1/60 ) + ( 1/61 + 1/62 + 1/63 + ...+ 1/79 + 1/80 )
do 1/41 > 1/42 > 1/43 > ... > 1/59 > 1/60
( 1/41 + 1/42 + 1/43 +...+ 1/60 ) > 1/60 + ..+ 1/60 = 20/60
và 1/61 >1/62>..1/80
( 1/61 + 1/62 + 1/63 + ...+ 1/80 ) > 1/80 +....+1/80 = 20/80
vậy 1/41 + 1/42 + 1/43 + .... + 1/79 + 1/80 > 20/60 + 20/80
1/41 + 1/42 + 1/43 + ..... + 1/79 + 1/80 > 7/12
So sanh
1/41 +1/42 + 1/4+1/43+...+1/79 va 7/12
lam nhanh minh tick
So sanh \(A=\frac{1}{42}+\frac{1}{43}+.......+\frac{1}{80}\)va \(B=\frac{7}{12}\)
Ta có
\(\frac{7}{12}=\frac{3}{12}+\frac{4}{12}=\frac{1}{4}+\frac{1}{3}=\frac{20}{80}+\frac{20}{60}=\frac{1}{41}+\frac{1}{42}+\frac{1}{43}+...+\frac{1}{80}\)
\(>\frac{1}{42}+\frac{1}{43}+...+\frac{1}{80}\)
hay B>A
nhớ tick mình nha
Ta chia A làm hai phần mỗi phần 20 số hạng
\(C=\frac{1}{41}+\frac{1}{42}+...+\frac{1}{60}\)với \(D=\frac{1}{61}+\frac{1}{62}+...+\frac{1}{80}\)
Xét \(C=\frac{1}{41}+\frac{1}{42}+...+\frac{1}{61}\)\(>\frac{1}{61}+\frac{1}{61}+\frac{1}{61}+...+\frac{1}{61}\)\(=\frac{1}{61}.20=\frac{1}{3}\)
Xét \(D=\frac{1}{61}+\frac{1}{62}+...+\frac{1}{80}>\frac{1}{80}+\frac{1}{80}+...+\frac{1}{80}=\frac{1}{80}.20=\frac{1}{4}\)
Mà A = C + D > \(\frac{1}{3}+\frac{1}{4}=\frac{7}{12}\)
=> A > B
so sanh
A=1/41+1/42+......+1/80
B=7/12
Chứng tỏ 1/41+1/42+1/43+...1/80<5/8
hãy chứng tỏ rằng : 1/41 + 1/42 + 1/43 + ... + 1/80 > 3/5
So sánh A và B
A=1/41+1/42+1/43+........+1/80
B=7/12
So sánh : A = 1/41 + 1/42 + 1/43 + ................ + 1/80 và B = 7/12 ta được kết quả là : A .......... B
vòng 12 ak , A..<..B
mình làm rồi đugs tick nah