Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Mình giúp bạn nha!
A = 2017/1 + 2017/2 + 2017/3 + . . . + 2017/2018 / 2017/1 + 2016/2 + 2015/3 + . . .+ 1/2017
= 2017 . ( 1 + 1/2 + 1/3 + . . . +1/2018 ) / ( 2017 . 2016 . 2015 . . . 1) . ( 1 + 1/2 + 1/3 +. . . + 1/2017 )
= 1/2016 . 2015 . 2014. . . 1
k mình nha
\(\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+........+\frac{1}{2015}\)
\(=1+\frac{1}{2}+\frac{1}{3}+.........+\frac{1}{2015}\)
\(=1+\left(1-\frac{1}{2}\right)+\left(1-\frac{2}{3}\right)+............+\left(1-\frac{2014}{2015}\right)\)
\(=\left(1+1+1+..........+1\right)-\left(\frac{1}{2}+\frac{2}{3}+.........+\frac{2014}{2015}\right)\)
\(=2014-\frac{1}{2}-\frac{2}{3}-.........-\frac{2014}{2015}\)
Từ đây bạn làm tiếp
Ta có: \(N=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{2005.2006}\)
\(\Rightarrow N=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{2005}-\frac{1}{2006}\)
\(=1-\frac{1}{2006}=\frac{2005}{2006}\)
\(M=\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+....+\frac{2}{2015.2017}\)
\(\Rightarrow1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+....+\frac{1}{2015}-\frac{1}{2017}\)
\(=1-\frac{1}{2017}=\frac{2016}{2017}\)
N = 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 +...+ 1/2005 - 1/2006
= 1/1 - 1/2006
= 2006/2006 - 1/2006
= 2005/2006
\(\frac{2016\times2017+4034}{2018\times2019-4034}=\frac{2016\times2017+2\times2017}{2018\times2019-2\times2017}\)
\(=\frac{\left(2016+2\right)\times2017}{2018\times2017+2\times2017-2\times2017}=\frac{\left(2016+2\right)\times2017}{2018\times2017+0}\)
\(=\frac{2018\times2017}{2018\times2017}=1\)
\(\frac{2015-\frac{2015}{2016}+\frac{2015}{2017}}{5-\frac{5}{2016}+\frac{5}{2017}}=\frac{2015\left(1-\frac{1}{2016}+\frac{1}{2017}\right)}{5\left(1-\frac{1}{2016}+\frac{1}{20177}\right)}=\frac{2015}{5}=403\)
làm ơn trả lời giúp mk nha mk cần gấp lắm mai mk phải nộp rồi
Bài 1 : dễ bạn tự làm được :)
Bài 2 :
Ta có :
\(B=\frac{2015+2016+2017}{2016+2017+2018}=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Vì :
\(\frac{2015}{2016}>\frac{2015}{2016+2017+2018}\)
\(\frac{2016}{2017}>\frac{2016}{2016+2017+2018}\)
\(\frac{2017}{2018}>\frac{2017}{2016+2017+2018}\)
Nên \(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
\(\Leftrightarrow\)\(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015+2016+2017}{2016+2017+2018}\)
\(\Leftrightarrow\)\(A>B\)
Vậy \(A>B\)
Chúc bạn học tốt ~
Ta có : B = 2016 + 2017 + 2018 2015 + 2016 + 2017 = 2016 + 2017 + 2018 2015 + 2016 + 2017 + 2018 2016 + 2016 + 2017 + 2018 2017 Vì : 2016 2015 > 2016 + 2017 + 2018 2015 2017 2016 > 2016 + 2017 + 2018 2016 2018 2017 > 2016 + 2017 + 2018 2017 Nên 2016 2015 + 2017 2016 + 2018 2017 > 2016 + 2017 + 2018 2015 + 2016 + 2017 + 2018 2016 + 2016 + 2017 + 2018 2017 ⇔ 2016 2015 + 2017 2016 + 2018 2017 > 2016 + 2017 + 2018 2015 + 2016 + 2017 ⇔A > B Vậy A > B Chúc bạn học tốt ~
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