![](https://rs.olm.vn/images/avt/0.png?1311)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + ..+ 98 - 99 - 100
= ( 1 - 2 - 3 + 4 ) + ( 5 - 6 - 7 + 8 ) + .... + ( 97 - 98 - 99 + 100 )
= 0 + 0 + .... + 0 = 0
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=1\times3+2\times4+3\times5+4\times6+...+97\times99+98\times100\)
\(B=1\times3+3\times5+...+97\times99\)
\(6\times B=1\times3\times\left(5+1\right)+3\times5\times\left(7-1\right)+5\times7\times\left(9-3\right)+...+97\times99\times\left(101-95\right)\)
\(=1\times3+1\times3\times5+3\times5\times7-1\times3\times5+...+97\times99\times101-95\times97\times99\)
\(=1\times3+97\times99\times101\)
\(B=161651\)
\(C=2\times4+4\times6+...+98\times100\)
\(6\times C=2\times4\times6+4\times6\times\left(8-2\right)+...+98\times100\times\left(102-96\right)\)
\(=2\times4\times6+4\times6\times8-2\times4\times6+...+98\times100\times102-96\times98\times100\)
\(=98\times100\times102\)
\(C=166600\)
\(A=B+C=161651+166600=328251\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt A = 1 - 2 + 3 - 4 + 5 - 6 + ......+ 97 - 98 + 99 - 100
<=> A = ( 1 - 2 ) + ( 3 - 4 ) + ( 5 - 6 ) + ...... + ( 97 - 98 ) + ( 99 - 100 )
<=> A = ( - 1 ) + ( - 1 ) + ( - 1 ) + ...... + ( - 1 ) + ( - 1 ) ( Có 50 số )
=> A = ( - 1 ) . 50 = - 50
Vậy A = - 50
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
minh giai y 1con y 2 neu can giup minh se giai cho
=(-1+3)+(-5+7)+....+(97-99)=-2+-2+...+-2(co 25 so 2)=-2.25=-50