2-4-6+8+10-12-...+1994-1996-1998+2000
a] 2-4+6-8+...+1998-2000
b] 2-4-6+8+10-12-14+16+...+1994 -1996-1998+2000
a)
S1 = 2 - 4 + 6 - 8 + ..... + 1998 - 2000
= (2 - 4) + (6 - 8) + ..... + (1998 - 2000)
= (-2) + (-2) + ..... + (-2)
= (-2).500
= -1000
b)
S2 = 2 - 4 - 6 + 8 + ..... + 1994 - 1996 - 1998 + 2000
= (2-4-6+8)+ ..... + (1994-1996-1998+2000)
= 0 + 0 + ...... + 0
= 0
a) 2-4+6-8+...+1998+2000
b) 2-4-6+8+10-12-14+16+...+1994-1996-1998+2000
Ta có: 2-4+6-8+...+1998-2000
= (2-4)+(6-8)+...+(1998-2000)
= -2 + (-2) + ......+ (-2)
= -2000
2-4-6+8+10-12-14+16+...+1994-1996-1998+2000
=( 2 - 4 - 6 + 8) + ( 10 - 12 - 14 + 16) + ................+ (1994 - 1996 - 1998 + 2000)
= 0 + 0 + ......... + 0
= 0
a) 2-4+6-8+...+1998+2000
b) 2-4-6+8+10-12-14+16+...+1994-1996-1998+2000
a) 2-4+6-8+...+1998+2000
b) 2-4-6+8+10-12-14+16+...+1994-1996-1998+2000
a) 2-4+6-8+...+1998+2000
b) 2-4-6+8+10-12-14+16+...+1994-1996-1998+2000
a) 2-4+6-8+...+1998+2000
b) 2-4-6+8+10-12-14+16+...+1994-1996-1998+2000
a ) * Số hạng của dãy số là :
(2000-2):2+1=1000 ( số hạng )
* Tổng của dãy số là :
( 2+2000) .(1000:2) =
2002 . 500 = 1 001 000
b) hông biết
a) 2-4+6-8+...+1998+2000
b) 2-4-6+8+10-12-14+16+...+1994-1996-1998+2000
x-10/1994+X-8/1996+X-6/1998/+ X-4/2000+X-2/2002=X-2002/2+X-2000/4+X-1998/6+X-1996/8+X-1994/10
(X -10/1994 -1) + (X-8/1996 - 1) + (X-6/1998 - 1)+ (X-4/2000 - 1) + (X-2/2002 - 1) = (X-2002/2 - 1) + (X-2000/4 - 1) + (X-1998/6 - 1) + (X-1996/8 - 1) + (X-1994/10 - 1)
=> x-2004/1994 + x-2004/1996 + x-2004/1998 + x-2004/2000 + x-2004/2002 = x-2004/2 + x-2004/4 + x-2004/6 + x-2004/8 + x-2004/1994
=> x-2004/1994 + x-2004/1996 + x-2004/1998 + x-2004/2000 + x-2004/2002 - x-2004/2 - x-2004/4 - x-2004/6 - x-2004/8 - x-2004/1994 = 0
=> (x - 2004)(1/994 + 1/1996 + 1/1998 + 1/2000 + 1/2002 + 1/2 + 1/4 + 1/6 + 1/8) = 0
Mà (1/994 + 1/1996 + 1/1998 + 1/2000 + 1/2002 + 1/2 + 1/4 + 1/6 + 1/8) \(\ne\)0
=> x - 2004 = 0
=> x = 2004
Vậy x = 2004
Sửa (x - 2004) (1/1994 + 1/1996 + 1/1998/+ 1/2000 + 1/2002 + 1/2 + 1/4 + 1/6+ 1/8 + 1/10)
= (x - 2004) (1/1994 + 1/1996 + 1/1998/+ 1/2000 + 1/2002 - 1/2 -1/4 - 1/6 - 1/8 - 1/10)
:)))
x-10/1994+x-8/1996+x-6/1998+x-4/2000+x-9/2002=x-2002/2+x-2000/4
+x-1998/6+x-1996/8+x-1994/10