\(C=\left(1-\frac{1}{97}\right).\left(1-\frac{1}{98}\right).\left(1-\frac{1}{99}\right)......\left(1-\frac{1}{1000}\right)\)

\(C=\frac{96}{97}.\frac{97}{98}.\frac{98}{99}........\frac{999}{1000}\)

\(C=\frac{96}{1000}\)

\(C=\frac{12}{125}\)

ket quả bằng 12 phần 125

1332

1375

0.68(72)

\(1-\frac{1}{97}.1-\frac{1}{98}.1-\frac{1}{99}.....1-\frac{1}{1000}\)

\(=\frac{96}{97}.\frac{97}{98}.\frac{98}{99}.....\frac{999}{1000}\)

\(=\frac{96}{1000}\)

\(=\frac{12}{125}\)

( 1- 1/97) x ( 1- 1/98) x … 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

\(=\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{999}{1000}=\frac{96\cdot97\cdot...\cdot999}{97\cdot98\cdot...\cdot999\cdot1000}=\frac{96}{1000}=\frac{12}{125}\)

B=3/2x4/3x...........x2018/2017

=3x4x5x...........x2018/2x3x2x2x............x2017

=2x2018

=4036

A,C tương tự

Bài làm

   \(\left(1-\frac{1}{97}\right)x\left(1-\frac{1}{98}\right)x...x\left(1-\frac{1}{1000}\right)\)

= \(\left(\frac{97}{97}-\frac{1}{97}\right)x\left(\frac{98}{98}-\frac{1}{98}\right)x...x\left(\frac{1000}{1000}-\frac{1}{1000}\right)\)

= \(\frac{96}{97}x\frac{97}{98}x...x\frac{999}{1000}\)

= \(\frac{96}{1000}\)

= \(\frac{12}{125}\)

# Chúc bạn học tốt #

(1 - 1/97) .(1 - 1/98)....(1 - 1/1000)

= (97/97 - 1/97).(98/98 - 1/98) ... (1000/1000 - 1/1000)

= 96/97 . 97/98....999/1000

= 96.97....999/97.98.....1000

= 96/1000

= 12/125