Đặt \(A=\dfrac{1}{3}-\dfrac{1}{3^2}+\dfrac{1}{3^3}-\dfrac{1}{3^4}+......+\dfrac{1}{3^{2015}}-\dfrac{1}{3^{2016}}\)
\(3A=1-\dfrac{1}{3}+\dfrac{1}{3^2}-\dfrac{1}{3^3}+\dfrac{1}{3^4}-......+\dfrac{1}{3^{2014}}-\dfrac{1}{3^{2015}}\)
\(3A+A=4A=1-\dfrac{1}{3^{2016}}\)
\(A=\dfrac{1-\dfrac{1}{3^{2016}}}{4}=\dfrac{\dfrac{3^{2016}-1}{3^{2016}}}{4}=\dfrac{3^{2016}-1}{3^{2016}.4}\)
P/s : Chắc là vậy
tìm x biết
a) \(\dfrac{1}{2}x+2\dfrac{1}{2}=3\dfrac{1}{2}x-\dfrac{3}{4}\)
b) \(\dfrac{2}{3}x-\dfrac{2}{5}=\dfrac{1}{2}x-\dfrac{1}{3}\)
c) \(\dfrac{1}{3}x+\dfrac{2}{5}\left(x+1\right)=0\)
d) \(\dfrac{2}{3}-\dfrac{1}{3}\left(x-\dfrac{3}{2}\right)-\dfrac{1}{2}\left(2x+1\right)=5\)
e) \(\dfrac{x+2015}{5}+\dfrac{x+2016}{4}=\dfrac{x+2017}{3}+\dfrac{x+2018}{2}\)
Tìm x
a) \(\dfrac{-2}{3}\) x (\(\dfrac{1}{3}\)- \(\dfrac{1}{2}\)-\(\dfrac{3}{4}\)) \(\ge\) x \(\ge\) -4\(\dfrac{1}{3}\) x (\(\dfrac{1}{2}\) - \(\dfrac{1}{6}\))
b) 21% +\(\dfrac{3}{4}\) -\(\dfrac{11}{5}\) \(\ge\) 2x -1 \(\ge\) -3\(\dfrac{1}{2}\) + 3\(\dfrac{1}{5}\)
c) 43\(\dfrac{1}{2}\) - 39\(\dfrac{1}{5}\) \(\le\) -3x +4 \(\le\) 9\(\dfrac{1}{5}\) + 50 \(\dfrac{1}{7}\)
GIÚP MK NHA ĐANG CẦN GẤP HẠN CHÓT CHIỀU MAI NỘP
Tìm x:
3\(\dfrac{1}{14}\) - 5\(\dfrac{1}{3}\) - \(\dfrac{4}{7}\) + \(\dfrac{11}{21}\) = x -\(\dfrac{1}{2}\)
Làm ra bài giải giúp mk vs
\(\dfrac{4}{9}.19\dfrac{1}{3}+\dfrac{-4}{9}.39\dfrac{1}{3}+\dfrac{-3^2}{5}:\left(-0,2\right)\)
\(\dfrac{\left(-5^3\right)^2}{27}.\dfrac{3}{23}.\dfrac{6^2}{-5^6}\)
\(1\dfrac{4}{23}+\dfrac{5}{21}-\dfrac{4}{23}+0,5+\dfrac{16}{21}\)
\(\dfrac{3}{7}.19\dfrac{1}{3}-\dfrac{3}{7}:33\dfrac{1}{3}\)
\(\dfrac{3}{4}-\left(x+\dfrac{1}{2}\right)=\dfrac{4}{5}\)
x:(-2,14)=(-3,12):1,2
1,\(\dfrac{3}{16}\)- ( x - \(\dfrac{5}{4}\) ) - ( \(\dfrac{3}{4}\) + \(\dfrac{-7}{8}\) - 1 ) = \(2\dfrac{1}{2}\)
2,\(\dfrac{1}{2}\) . ( \(\dfrac{1}{6}\) - \(\dfrac{9}{10}\) ) = \(\dfrac{1}{5}\) - x + ( \(\dfrac{1}{15}\) - \(\dfrac{-1}{5}\) )
Giúp mik nhanh với ạ
Tìm giá trị nhỏ nhất của biểu thức:
a) E = (2x + \(\dfrac{1}{4}\))4 + 6
b) E = (5 - 3x)2 - 2013
c) A = 2013 + \(|2x-3|\)
d) B= -1 + \(|\dfrac{1}{2}x-3|\)
e) M = 2015 - \(\dfrac{1}{3+|x-1|}\)
f) N = \(\sqrt{x-3}\) + 2016
Tìm x,y,z biết :
1) \(\dfrac{x}{5}=\dfrac{y}{4}\)và x2 - y2=4
2) \(\dfrac{2x+1}{5}=\dfrac{3y-2}{7}=\dfrac{2x+3y-1}{6x}\)
3) \(\dfrac{x-1}{2}=\dfrac{y-2}{3}=\dfrac{z-3}{4}\)và 2x + 3y - z = 95
Tìm x biết :
1) \(\dfrac{-7}{x+1}=\dfrac{-x-1}{\dfrac{4}{7}}\)
2) \(\dfrac{x-3}{x+5}=\dfrac{5}{7}\)
3) \(\dfrac{x+1}{2x+1}=\dfrac{0,5x+2}{x+3}\)
4) \(\dfrac{3x+2}{5x+7}=\dfrac{3x-1}{5x+1}\)
Tìm x
a)\(\dfrac{-2}{3}\) . (\(\dfrac{1}{3}\) -\(\dfrac{1}{2}\) -\(\dfrac{3}{4}\)) \(\ge\) x \(\ge\) -4\(\dfrac{1}{3}\) . (\(\dfrac{1}{2}\) -\(\dfrac{1}{6}\) )
MK ĐAG CẦN GẤP CHIỀU NỘP BÀI
