Đề bài: So sánh
1, \(\dfrac{2017}{2018}+\dfrac{2018}{2019}+\dfrac{2019}{2020}với\) 3
2, \(\dfrac{2017}{2018}+\dfrac{2018}{2019}với\dfrac{2017+2018}{2018+2019}\)
Tính
A=\(\dfrac{\dfrac{2017}{2}+\dfrac{2017}{3}+\dfrac{2017}{4}+...+\dfrac{2017}{2018}}{\dfrac{2017}{1}+\dfrac{2016}{2}+...+\dfrac{1}{2017}}\)
1)so sánh
a)\(\dfrac{17}{15}\)và\(\dfrac{29}{37}\) b)\(\dfrac{12}{18}\)và\(\dfrac{13}{17}\) c)\(\dfrac{16}{51}\)và\(\dfrac{31}{90}\) d)\(\dfrac{2017}{2018}\)và\(\dfrac{2018}{2019}\) e)\(\dfrac{2018}{2017}\)và \(\dfrac{2019}{2018}\)
giúp mình nhé thank
Cho :
A = \(\dfrac{1}{1.2}+\dfrac{1}{3.4}+...+\dfrac{1}{2007.2008}+\dfrac{1}{2009}\)
B = \(\dfrac{1}{1005.2009}+\dfrac{1}{1006.2008}+....+\dfrac{1}{2009.1005}\)
CM : A = 1507.B
1.Thực hiện phép tính:
a, \(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{2016}+\dfrac{1}{2017}\)
b, 2016+\(\dfrac{2015}{2}+\dfrac{2014}{3}+...+\dfrac{2}{2015}+\dfrac{1}{2016}\)
2.a. Tìm các số tự nhiên x, y. sao cho (2x+1)(y-5)=12
b.Tìm số tự nhiên sao cho 4n-5 chia hết cho 2n-1
1. Tính:
a.\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{9.10}\)
b.\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{99.100}\)
2. Tìm x , biết:
a. \(\dfrac{2}{5}+\dfrac{4}{5}x-\dfrac{7}{5}=\dfrac{9}{5}\)
b. \(\dfrac{2}{5}x-\dfrac{6}{4}=\dfrac{8}{5}\)
bài này ko được coppy trên mạng
Chứng Minh Rằng A=\(\dfrac{1}{1+3}+\dfrac{1}{1+3+5}+\dfrac{1}{1+3+5+7}+...+\dfrac{1}{1+3+5+...+2017}\)\(< \dfrac{3}{4}\)
Sử dụng điều kiện \(\dfrac{n}{a\left(a+n\right)}=\dfrac{1}{a}-\dfrac{1}{a+n}\) để tính:
a. \(A=\dfrac{1}{2.9}+\dfrac{1}{9.7}+\dfrac{1}{7.19}+...+\dfrac{1}{252.509}\)
b.\(B=\dfrac{2}{4.7}-\dfrac{3}{5.9}+\dfrac{2}{7.10}-\dfrac{3}{9.13}+...+\dfrac{2}{301.304}-\dfrac{3}{401.405}\)
a) Cho a\(\in\) N. Chứng minh rằng \(\dfrac{1}{a}-\dfrac{1}{a+1}< \dfrac{1}{a^2}< \dfrac{1}{a-1}-\dfrac{1}{a}\)