[1-1/97]x[1-1/98]x[1-1/99]x..........x[1-1/1000]=bao nhiêu
(1-1/97) x (1-1/98) x (1-1/99) x (1-1/1000) = ..............
(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
C =(1-1/97)x(1-1/98)x(1-1/99)x.....x(1-1/1000)
\(C=\left(1-\frac{1}{97}\right).\left(1-\frac{1}{98}\right).\left(1-\frac{1}{99}\right)......\left(1-\frac{1}{1000}\right)\)
\(C=\frac{96}{97}.\frac{97}{98}.\frac{98}{99}........\frac{999}{1000}\)
\(C=\frac{96}{1000}\)
\(C=\frac{12}{125}\)
< 1- 1/97 > x < 1 - 1/98> x <1 - 1/99 > x ...x < 1- 1/1000>
\(1-\frac{1}{97}.1-\frac{1}{98}.1-\frac{1}{99}.....1-\frac{1}{1000}\)
\(=\frac{96}{97}.\frac{97}{98}.\frac{98}{99}.....\frac{999}{1000}\)
\(=\frac{96}{1000}\)
\(=\frac{12}{125}\)
( 1-1/97)x( 1-1/98)x( 1-1/99 )x( 1-1/1000 )=......... các bạn jup mình nhé mình tick cho
tính giá trị của biểu thức
A =( 1+1/15)x( 1+1/24)x(1+1/35)x ......x (1+1/9999)
B =(1+1/2)x(1=1/3)x(1+1/4)x.......x(1+1/2017)
C =(1-1/97)x(1-1/98)x(1-1/99)x.....x(1-1/1000)
tính giá trị biểu thức
A=(1+1/15)x(1+1/24)x(1+1/35)x.......x(1+1/9999)
B=(1+1/2)x(1+1/3)x(1+1/4)x...x(1+1/2017)
C=(1-1/97)x(1-1/98)x(1-1/99)x.......x(1-1/1000)
B=3/2x4/3x...........x2018/2017
=3x4x5x...........x2018/2x3x2x2x............x2017
=2x2018
=4036
A,C tương tự
tính giá trị biểu thức
A=(1+1/15)x(1+1/24)x(1+1/35)x.......x(1+1/9999)
B=(1+1/2)x(1+1/3)x(1+1/4)x...x(1+1/2017)
C=(1-1/97)x(1-1/98)x(1-1/99)x.......x(1-1/1000)
Tìm x biết : 99x+1/99+98x+1/98+97x+1/97-1/99-1/98-1/97
(1-1/97)x(1-1/98)x....x(1-1/1000)=
( 1- 1/97) x ( 1- 1/98) x … x ( 1-1/1000)
= 96/97 x 97/98 x ….x 999/1000
= 96/1000
= 12/125
(1-1/97)x(1-1/98)x....x(1-1/1000)
=96/97 x 97/98 x ... x 999/1000
= 96/1000
= 12/125