Tính \(A=1+2-3-4+5+6-7-8+9+10+...+2006-2007-2008+2009\)
tính: 1+2-3-4+5+6-7-8+9+10-...+2006-2007-2008+2009
= 1+(2-3-4+5)+(6-7-8+9)+ ... +(2006-2007-2008+2009)
=1+0+0+ ... +0
=1
Tính tổng:1+2-3-4+5+6-7-8+9+10-...+2006-2007-2008+2009.
Tính : 1+2-3-4+5+6-7-8+9+10-11-12+......+2006-2007-2008+2009
= 1 + (2- 3 - 4 + 5) + (6 - 7 - 8 + 9) + (10 - 11 - 12 + 13) + ...+ (2006 - 2007 - 2008 + 2009)
= 1 + 0 + 0 + 0 + ...+ 0 = 1
Tính :
A = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - 11 - 12 +....+ 2006 - 2007 - 2008 + 2009 - 2010 - 2011 - 2012
1+2-3-4+5-6-7-8+9+10-...+2006-2007-2008+2009
Đặt A=1+2-3-4+5-6-7-8+9+10-...+2006-2007-2008+2009
Ta có:A=1+2-3-4+5+6-7-8+9+10-...+2006-2007-2008+2009
A=1+(2-3-4+5)+(6-7-8+9)+...+(2006-2007-2008+2009)
A=1+0+0+0+....+0
A=1
Ta có:1+2-3-4+5+6-7-8+9+10-...+2006-2007-2008+2009=1+(2-3-4+5)+(6-7-8+9)+...+(2006-2007- 2008+2009)
=1+0+0+0+....+0
=1
Tính tổng:E=1-3+5-7+...+2013-2015
F=1+2-3-4+5+6-7-8+9+10-....+2006-2007-2008+2009
E = 1 - 3 + 5 - 7 + ... + 2013 - 2015 (1008 số hạng)
= (1 - 3) + (5 - 7) + ... + (2013 - 2015) (504 cặp)
= -2 + (-2) + ... + (-2) (504 số hạng - 2)
= 504.(-2) = -1008
F = 1 + 2 - 3 - 4 + .... + 2006 - 2007 - 2008 + 2009 (2009 SỐ HẠNG)
= 1 + (2 - 3) + (-4 + 5) + .... + (2006 - 2007) + (-2008 + 2009) (1004 cặp số)
= 1 + [(-1) + 1 + .... + (-1) + 1] (1005 số hạng)
= 1
E = 1 - 3 + 5 - 7 + .. + 2013 - 2015
E= ( 1 - 3 ) + ( 5 - 7 ) + ... + ( 2013 - 2015 )
E = - 2 + ( -2 ) + ... + (-2 )
E = -2 x 504
E= -1008
F = 1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + 9 + 10 - ... + 2006 -2007 - 2008 + 2009
F = ( 1 - 3 ) + ( 2 - 4 ) + ( 5 - 7 ) + ( 6 - 8 ) + ... + (2005 - 2007 ) + ( 2006 - 2008 ) + 2009
F = -2 + ( -2 ) + ( - 2 ) + ( - 2 ) + ... + ( - 2 ) + ( - 2 ) +2009
F = ( - 2 ) x 1004 + 2009
F = -2008 + 2009
F = 1
1+2-3-4+5+6-7-8+9+10...+2005+2006-2007-2008+2009
\(1+2-3-4+5+6-7-8+...-2007-2008+2009\)
\(=\left(1+2-3-4\right)+\left(5+6-7-8\right)+...+\left(2005+2006-2007-2008\right)+2009\)
\(=\left(-4\right)+\left(-4\right)+\left(-4\right)+...+\left(-4\right)+2009\)
\(=\left(-4\right)\cdot502+2009\)
\(=\left(-2008\right)+2009\)
\(=1\)
1 + 2 - 3 - 4 + 5 + 6 - ... + 2006 - 2007 - 2008 + 2009
= 1 + ( 2 - 3 - 4 + 5 ) + ( 6 - 7 - 8 + 9 ) + ... + ( 2006 - 2007 - 2008 + 2009 )
= 1 + 0 + 0 + ... + 0
= 1
Tính toorng :1+2-3-4+5+6-7-8+9+...+2006-2007-2008+2009+2010
=1+(2-3-4+5)+(6-7-8+9)+...+(2006-2007-2008+2009)+2010
=1+0+0+...+0+2010
=2011
Ta thấy tổng của 4 số bắt đầu từ 2 thì đều =0 (2-3-4+5=0,6-7-8+9=0)Ta đặt A=\(1+2-3-4+5+6-7-8+9+...+2006-2007-2008+2009+2010\)
= \(1+\left(2-3-4+5\right)+\left(6-7-8+9\right)+...+\left(2006-2007-2008+2009\right)+2010=1+0+0+...+0+2010=2011\)
Tính
A=1-2+3+4-5-6+7+8-9-.....+2007+2008-2009-2010
B=2^2005-2^2003-2^2001-......-2-1
C=2+4+4+8+10-12-14+16+......-2006+2008+2010-2012
D=1-2-3-4+5-6-7-8+9-10-11-......-2010