S = 2017.2018.( 2016/2017 - 2016/2018 )
S= 2017.2018.2016/2017 - 2017.2018.2016/2018
S = 2018.2016 - 2016.2017
S = 2016.( 2018 - 2017 )
S = 2016.1 = 2016
Câu 1. Tính hợp lý giá trị các biểu thức sau :
a. A = ( 689 - 31 ) - ( 269 - 131 )
b. B = \(\left(\frac{1}{2}+\frac{2016}{2017}+\frac{2017}{2018}+1\right)\times\left(\frac{2016}{2017}+\frac{2017}{2018}+\frac{3}{4}\right)-\left(\frac{1}{2}+\frac{2016}{2017}+\frac{2017}{2018}\right)\times\left(\frac{2016}{2017}+\frac{2017}{2018}+\frac{3}{4}+1\right)\)c. C = \(1-\frac{5}{6}+\frac{7}{12}-\frac{9}{20}+\frac{11}{30}-\frac{13}{42}+\frac{15}{56}-\frac{17}{72}+\frac{19}{90}\)
so sánh A và B
A = \(\frac{2015}{2016}-\frac{2016}{2017}+\frac{2017}{2018}-\frac{2018}{2019}\)
B=\(\frac{-1}{2015.2016}-\frac{1}{2017.2018}\)
1. \(B=\frac{12}{\left(2.4\right)^2}+\frac{20}{\left(4.6\right)^2}+...+\frac{388}{\left(96.98\right)^2}+\frac{396}{\left(98.100\right)^2}\)
So sánh \(B\) với \(\frac{1}{4}\)
2. SO sánh \(A=\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\) và \(B=\frac{2015+2016+2017}{2016+2017+2018}\)
Thực hiện phép tính sao cho nhanh nhất
a,\(1\frac{1}{5}.0,75-\frac{6}{7}.1\frac{1}{3}+\frac{6}{7}\) b, \(2017.2018.\left(\frac{2016}{2017}-\frac{2016}{2018}\right)\)
c,\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right)\left(\frac{1}{4}-1\right).......\left(\frac{1}{100}-1\right)\) d,\(\frac{1023}{2^1+2^2+......2^{10}}\)
\(\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}+1\right)\left(\frac{2105}{2016}+\frac{2016}{2017}+\frac{7}{22}\right)-\left(\frac{1}{2}+\frac{2015}{2016}+\frac{2016}{2017}\right)\left(\frac{2015}{2016}+\frac{2016}{2017}+\frac{7}{22}+1\right)\)
thực hiện phép tính sau một cách nhanh nhất:
\(1\frac{5}{7}\cdot0.75-\frac{6}{7}\cdot1\frac{1}{3}+\frac{6}{7}\)
\(2017\cdot2018\left(\frac{2016}{2017}-\frac{2016}{2018}\right)\)
\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right)\left(\frac{1}{4}-1\right)....\left(\frac{1}{100}-1\right)\)
\(\frac{1023}{2+2^2+2^3+....+2^{10}}\)GIÚP MÌNH VỚI!HELP ME!
Các bài khó đề cương toán :
1. Tính tổng
a) P = 1 + \(\frac{1}{2}+\frac{1}{2^2}+\frac{1}{2^3}+....+\frac{1}{2^{2018}}\)
b) Q = \(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+....+\frac{1}{2017.2018}\)
2. So sánh A và B
a) A = \(\frac{10^{2016}+1}{10^{2017}+1}\) B = \(\frac{10^{2017}+1}{10^{2018}+1}\)b) A= \(\left(1-\frac{1}{2}\right).\left(1-\frac{1}{3}\right).\left(1-\frac{1}{4}\right)....\left(1-\frac{1}{20}\right)\) B = \(\frac{1}{21}\)
Mọi người nhanh lên nhé, mình đang cần gấp, ai nhanh, đúng, nhiều thì tui tick cho
Tính tích:
\(A=\left(1-\frac{1}{2016}\right)\left(1-\frac{2}{2016}\right)\left(1-\frac{3}{2016}\right)...\left(1-\frac{2017}{2016}\right)\)
1. Cho A=\(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{2017}-\frac{1}{2018}\)và B=\(\frac{1}{1010}+\frac{1}{1011}+...+\frac{1}{2017}+\frac{1}{2018}\)Tính \(\left(\frac{A}{B}\right)^{2018}\)
2. Tìm x biết
a)\(\frac{1}{1.3}+\frac{1}{3.5}+...+\frac{1}{x.\left(x+2\right)}=\frac{20}{41}\)
b)\(|x+2016|+|x+2017|+2018=3x\)