x-99=1000
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
(x+1)+(x+3)+...+(x+99)=1000
=>50x+1+3+...+99=1000
=>50x+\(\dfrac{\left(99-1\right):2+1\cdot\left(1+99\right)}{2}\)=1000
=>50x+2500=1000
=>50x=1000-2500=-1500
=>x=-1500:50=-30.
\(\left(x+1\right)+\left(x+3\right)+\left(x+5\right)+...+\left(x+99\right)=1000\)
\(\left(x+x+x+...+x\right)+\left(1+3+5+7+9+...+99\right)\)
\(\left(x.50\right)+2500\)=1000
\(x.50=1000-2500\)
\(x.50=-1500\)
\(x=-1500:50=-30\)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
[(x+1000):20.2]-1=99
=>(x+1000):10=99+1
=>x+1000=100.10
=>x=1000-1000
=>x=0
vậy x=0
(x+1000) : 20 x 2 = 100
=> (x+1000) : 20 = 50
=> x+1000 = 1000
=> x = 0
![](https://rs.olm.vn/images/avt/0.png?1311)
(1-1/97) x (1-1/98) x (1-1/99) x (1-1/1000) = 96/97 x 97/98 x 98/99 x 999/1000
= 96 x 97 x 98 x 999 / 97 x 98 x 99 x 1000 = 12 x 111 / 11 x 125 = 1332 / 1375
![](https://rs.olm.vn/images/avt/0.png?1311)
\(C=\left(1-\frac{1}{97}\right).\left(1-\frac{1}{98}\right).\left(1-\frac{1}{99}\right)......\left(1-\frac{1}{1000}\right)\)
\(C=\frac{96}{97}.\frac{97}{98}.\frac{98}{99}........\frac{999}{1000}\)
\(C=\frac{96}{1000}\)
\(C=\frac{12}{125}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
x - 99 = 1000
x = 1000 + 99
x = 1099
x - 99 = 1000
x = 1000 + 99
x = 1099