B = 10 +9^2 + 9^3 + 9^4 +...+ 9^2004 + 9^2005
Tính giá trị biểu thức sau
1, A=6+5^2+5^3+5^4 +....+5^1996+5^1997
2,B=10+9^2+9^3+9^4+....+9^2004+9^2005
3, C=x^20-2006x^19+x^2018-2006x^17+....+2006x^2-2006x+2006 với x=2005
Tinh hợp lý các biểu thức sau:
F=1-2+3-4+....+2009+2010
G=0-2+4-6+...+2010-2010
H=13-12+11+10-9+8-7-6+5-4-3+2-1
I=1-2-3+4+5-6-7-8+9...+2001-2002-2003+2004+2005+2006
J=1+2-3-4+6+6-7-8+9+...+2002-2003-2004+2005+2006
1) Tính nhanh
a) 3/8 + 7/12 + 10/16 + 10/24
b) 5/7 x 9/16 + 7/10 x 5/7
c) 4/6 + 7/13 + 17/9 + 19/13 + 1/9 + 14/6
d) 2005 x 2006 - 1/2004 x 2006 + 2005
a)=(3/8+10/16)+(7/12+10/24)
=1+1=2
c)=(4/6+14/6)+(7/13+19/13)+(17/9+1/9)
=3+2+2=7
1. [ ( -2 ). 3 + 9 ]. ( -5 ) - ( -6 ). 8
2. ( 135 - 35 ). ( -47 ) + 53. ( -48 - 52 )
3. 0 - 1 + 2 - 3 + 4 - 5 + 6 - 7 + ... + 2004 - 2005
4. 1 - 3 + 5 - 7 + 9 - 11 + ... + 2005 - 2007
5.1 + 2 + 3 - 4 - 5 - 6 + 7 + 8 + 9 - 10 - 11 - 12 + ... + 97 + 98 + 99 - 100 - 101 - 102
Tính 1+2-3-4+5+6-7-8+9+10....+2002-2003-2004+2005
1+2-3-4+5+6-7-8+9+..........+2002-2003-2004+2005
=1+(2-3-4+5)+(6-7-8+9)+............+(2002-2003-2004+2005)
=1+0+0+........+0
=1
1+2-3-4+5+6-7-8+9+10....+2002-2003-2004+2005
= 1
1+2+3+4+5+6+7+8+9+.............+2002-2003-2004+2005=1
tính :1+2-3-4+5+6-7-8+9+10-...+2002-2003-2004+2005
\(\text{:1+2-3-4+5+6-7-8+9+10-...+2002-2003-2004+2005}\)
\(1+\left(2-3-4+5\right)+\left(6-7-8+9\right)+...+\left(2002-2003-2004+2005\right)\)
= \(1+0+0+....+0\)
= 1
\(CMR:\)
a)\(\left(5^{2005}+5^{2004}+5^{2003}\right)⋮31\)
b)\(\left(10^{19}+10^{18}+10^{17}\right)⋮555\)
c)\(\left(1+9+9^2+9^3....+9^9\right)⋮10\)
a)\(\left(5^{2005}+5^{2004}+5^{2003}\right)\)
\(\Rightarrow5^{2003}.\left(5^2+5+1\right)\)
\(\Rightarrow5^{2003}.31⋮31\)
2004^10+2004^9 và 2005^10
so sánh A va B biết
A=2004^10+2004^9; B=2005^10
cung ho va va ten dem , vai.nhung ten ko hay bang minh