C = 1 + ( -2 ) + 3 + ( -4 ) + .... 1999 + ( - 2000 ) + 2001
C = 1 + ( - 2 ) + 3 + ( - 4 ) + ..........+ 1999 + ( - 2000 + 2001 )
1-3+5-7+9-...-1999-2000+2001
1+2+3-4+5+6+7-8+...+1999-2000 + 2001
B= 1-7+13-19+25-31+....; biếtB có 2007 số hạng
Tính
C=1+(-2)+3+(-4)+...+1999+(-2000)+2001
Help me!
Tính nhanh:
a)B = 1 - 3 + 5 - 7 + 9 - ...... - 1999 + 2001
b)C = 1 + 2 + 3 - 4 + 5 + 6 + 7 - 8 + ...... + 1999 - 2000 + 2001
\(B=1-3+5-7+9-...-1999+2001\)
\(=\left(1-3\right)+\left(5-7\right)+...+\left(1997-1999\right)+2001\)
\(=-2.500+2001=-1000+2001=1001\)
tính A=1-2+3-4+5-6+...+1999-2000+2001-2001
B=1-2+3-4+...+1999-2000+2001
refer
1-2+3-4+...+1999-2000+2001
=1+(-2+3)+(-4+5)+...+(-1998+1999)+(-2000+2001)
=1+1+1+...+1+1 ( có 2000 số 1)
= 1.2000=2000
1+(-2)+3+(-4)+...+1999+(-2000)+2001
1 + ( -2 ) + 3 + ( -4 ) + .... 1999 + ( - 2000 ) + 2001
1 + ( -2 ) + 3 + ( -4 ) + .... 1999 + ( - 2000 ) + 2001
= (1-2)+(3-4)+...+(1999-2000)+2001
= -1-1-...-1+2001 (1000 số -1)
= -1000+2001
= 1001
1-2+3-4+...+1999-2000+2001=???
= ( 1 + 3 + 5 +....+ 2001) - ( 2 + 4 + 6 +....+ 2000)
= ( 2001 +1) x [ (2001 - 1) : 2 +1] - ( 2000 +2) x [ (2002 -2) :2 + 1]
= 2 004 002 - 2 004 002
= 0
:)))))