1,SO SANH :
\(A=\frac{2018}{2019}+\frac{2019}{2020}\) \(B=\frac{2018+2019}{2019+2020}\)
2,CHO :
\(S=\frac{5}{2^2}+\frac{5}{3^2}+\frac{5}{4^2}+...+\frac{5}{100^2}\) .CHỨNG TỎ RẰNG \(2< S< 5\)
3,SO SÁNH
\(A=\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\) \(B=\frac{2015+2016+201}{2016+2017+201}\)
.............................................GIÚP MK NHÉ CÁC BN..............................
\(B=\frac{2018+2019}{2019+2020}\)
\(\Rightarrow B=\frac{2018}{2019+2020}+\frac{2019}{2019+2020}\)
\(\Rightarrow B< \frac{2018}{2019}+\frac{2019}{2020}=A\)
Vậy B < A
\(B=\frac{2015+2016+2017}{2016+2017+2018}\)
\(\Rightarrow B=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
\(\Rightarrow B< \frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}=A\)
Vậy B < A
Câu hỏi của Nguyễn Bảo Trâm - Toán lớp 6 - Học toán với OnlineMath
Tham khảo câu 2
Bài 1:
Ta có:\(\frac{2018}{2019}>\frac{2018}{2019+2020}\)
\(\frac{2019}{2020}>\frac{2019}{2019+2020}\)
\(\Rightarrow\frac{2018}{2019}+\frac{2019}{2020}>\frac{2018}{2019+2020}\)\(+\frac{2019}{2019+2020}\)
\(\Rightarrow\frac{2018}{2019}+\frac{2019}{2020}>\frac{2018+2019}{2019+2020}\)
\(\Rightarrow A>B\)
CÂU 2 DỄ LẮM NHƯNG MIK KO BÍT VIẾT PS THÔNG CẢM NHA