1+2+3+4+5+6+7+8+..............+998+999+1000
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3 tháng 2 2017
S:1 + 2 - 3 - 4 + 5 + 6 - 7 - 8 + ... + 997 + 998 - 999 - 1001
= 1 + [(2 - 3 - 4) + 5] + ... + [(994 - 995 - 996) + 997] + (998 - 999 - 1001)
= 1 + 0 + ...+ 0 + (-1001)
= -1000
DT
1
4 tháng 2 2017
S=(1+2-3-4)+(5+6-7-8)+..........+(997+998-999-1000)
S= -4 + (-4) + + (-4) (có 25 số hang)
S= -4.25
S= -100
ủng hộ mk nha nha
17 tháng 1 2022
a: M=-2021+2021-68-68+17
=-119
b: B=(-1)+(-1)+...+(-1)
=-1x500
=-500
c: C=(1-2-3+4)+(5-6-7+8)+...+(997-998-999+1000)
=0
4 tháng 3 2017
500500 dung 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000%
18 tháng 11 2017
1-2-3+4+5-6-7+8+...+997-998-999+1000=(1-2-3+4)+(5-6-7+8)+...+(997-998-999+1000)=0+0+...+0=0
Nhớ k nha bạn
XO
29 tháng 1 2020
\(B=\frac{\frac{2016}{1000}+\frac{2016}{999}+...+\frac{2016}{501}}{\frac{-1}{1.2}+\frac{-1}{3.4}+...+\frac{-1}{999.1000}}=\frac{2016.\left(\frac{1}{1000}+\frac{1}{999}+...+\frac{1}{501}\right)}{-\left(\frac{1}{1.2}+\frac{1}{3.4}+...+\frac{1}{999.1000}\right)}\)
\(=\frac{2016.\left(\frac{1}{1000}+\frac{1}{999}+...+\frac{1}{501}\right)}{-\left(1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{999}-\frac{1}{1000}\right)}\)
\(=\frac{2016\left(\frac{1}{1000}+\frac{1}{999}+...+\frac{1}{501}\right)}{-\left[\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{999}+\frac{1}{1000}\right)-2\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{1000}\right)\right]}\)
\(=\frac{2016.\left(\frac{1}{1000}+\frac{1}{999}+...+\frac{1}{501}\right)}{-\left[\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{999}+\frac{1}{1000}\right)-\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{500}\right)\right]}\)
\(=\frac{2016.\left(\frac{1}{1000}+\frac{1}{999}+...+\frac{1}{501}\right)}{-\left(\frac{1}{501}+\frac{1}{502}+\frac{1}{503}+....+\frac{1}{999}+\frac{1}{1000}\right)}=\frac{2016}{-1}=-2016\)
Vậy B = - 2016
29 tháng 1 2020
Bạn Xyz cho mik hỏi ở phần mẫu số tại sao lại có -2*(1/2+1/4+...+1/1000) vậy? Nó ở đâu ra thế?
= \(\frac{\left(1+1000\right)1000}{2}\)
= 1001 x 500
= 500500
Quang hải mà hỏi toán lớp 6