Đặt A=1/3+1/3^2+1/3^3+...+1/3^2000
=>3A=1+1/3+1/3^2+ ...+1/3^1999
=>3A-A=(1+1/3+1/3^2+...+1/3^1999)-(1/3+1/3^2+1/3^3+...+1/3^2000)
=>2A=1-1/3^2000
=>A=(1-1/3^2000)/2
Đặt A=1/3+1/3^2+1/3^3+...+1/3^2000
=>3A=1+1/3+1/3^2+ ...+1/3^1999
=>3A-A=(1+1/3+1/3^2+...+1/3^1999)-(1/3+1/3^2+1/3^3+...+1/3^2000)
=>2A=1-1/3^2000
=>A=(1-1/3^2000)/2
Chứng minh : 1/15< 1/2^3 + 1/3^3 +...+1/2000^3 < 1/4
1/2 + 1/3 + 1/4 + ... + 1/2000 / 1999/1 + 1998/2 + 1997/3 +...+ 1999/1
Tính
a)\((\dfrac{3}{4}-81).(\dfrac{3^2}{5}-81).(\dfrac{3^3}{6}-81)...(\dfrac{3^{2000}}{2003}-81)\)
b)\(\dfrac{69}{157}-(2+(3+(4+5^{-1})^{-1})^{-1}\)
tinh
1+3+3^2+3^3+.....+3^2000
a,(y/3-5)^2000=(y/3-5)^2008
b,(x-5)^2=(1-3x)^2
c,1/3*3^x+5*3^x-1=162
d, 2^x+2^x+3=144
e,(x-1)^3=(X-1)^4
g,(x-1)^x+1=(x-1)^x+2
nhanh nha đang cần gấp lắm đó!! ^.^
a,(y/3-5)^2000=(y/3-5)^2008
b,(x-5)^2=(1-3x)^2
c,1/3*3^x+5*3^x-1=162
d, 2^x+2^x+3=144
e,(x-1)^3=(X-1)^4
g,(x-1)^x+1=(x-1)^x+2
nhanh nha đang cần gấp lắm đó!! ^.^
1+3+32+33+...+32000
Cho A=1+3+32+33+34+..+32000. Biết 2A= 3n -1
Tìm n
Tìm GTNN và GTLN:
1,A=(x-1)^2000+/y-2/^2000+2019
2,B=/x+3/+/x-y+4/-10
3,C=-/x-2/-/x-y+5/+2000
4,D=(x+1)^2000-(y-2)^2000-70