tính: {1 - 1/97} *{1 - 1/98}*........* {1 - 1/1000} =
tính: (1- 1/97) x ( 1- 1/98) x... x ( 1/1000) =...
\(\left(1-\frac{1}{97}\right)\times\left(1-\frac{1}{98}\right)\times...\times\left(1-\frac{1}{1000}\right)=\frac{96}{97}\times\frac{97}{98}\times...\times\frac{999}{1000}=\frac{96}{1000}=\frac{12}{125}\)
tính
( 1 - 1/97) x ( 1 - 1/98 ) x .......x ( 1 - 1/1000)
\(=\frac{96}{97}\cdot\frac{97}{98}\cdot....\cdot\frac{999}{1000}=\frac{96\cdot97\cdot...\cdot999}{97\cdot98\cdot...\cdot1000}=\frac{96\cdot1\cdot...\cdot1}{1\cdot...\cdot1\cdot1000}=\frac{96}{1000}=\frac{12}{125}\)
tính tổng B= 1/1*2*3*4 +1/2*3*4*5 +...+1/97*98*99*1000
Bx3=1x3/1x2x3x4+1x3/2x3x4x5+...+1x3/97x98x99x100
Bx3=3/1x2x3x4+3/2x3x4x5+...+3/97x98x99x100
Bx3=1/1x2x3-1/2x3x4+1/2x3x4-1/3x4x5+...+1/97x98x99-1/98x99x100
BX3=1/1x2x3-1/98x99x100
BX3=1/6-1/970200
Bx3=161700/970200-1/970200
Bx3=161399/970200
B=161699/970200:3
B=161699/970200x1/3
B=161699/2910600
tính tổng B= 1/1*2*3*4 +1/2*3*4*5 +...+1/97*98*99*1000
\(B=\frac{1}{1.2.3.4}+\frac{1}{2.3.4.5}+....+\frac{1}{97.98.99.100}\)
\(B=\frac{4-1}{1.2.3.4}+\frac{5-2}{2.3.4.5}+...+\frac{100-97}{97.98.99.100}\)
\(B=\frac{1}{3}\cdot\left(\frac{1}{1.2.3}-\frac{1}{2.3.4}+\frac{1}{2.3.4}-\frac{1}{3.4.5}+...+\frac{1}{97.98.99}-\frac{1}{98.99.100}\right)\)
\(B=\frac{1}{3}\cdot\left(\frac{1}{1.2.3}-\frac{1}{98.99.100}\right)\)
\(B=\frac{1}{3}\cdot\frac{161699}{970200}=\frac{161699}{2910600}\)
Tính:(1-1/97)x(1-1/98)x...x(1-1/1000)
bạn nào giúp mk mk tặng 2 like
=96/97x97/98x98/99x...x999/1000
=96/1000
=12/125
(1- 1/97) * ( 1-1/98) * ... * ( 1 - 1/1000)=
(1-1/97)x(1-1/98)x...x(1-1/1000)
=96/97x97/98x...x999/1000 (Mình gạch các tử số giống mẫu số.VD:a/b x b/c=a/c)
=96/1000
=0,096
(1-1/97)*(1-1/98)*...*(1-1/1000)
(1-1/97)*(1-1/98)*...(1-1/1000)
= 96/97*97/98*...*999/1000
= 96/1000 = 49/500
(1-1/97)*(1-1/98)*.....*(1-1/1000) =?
\(\left(1-\frac{1}{97}\right)\left(1-\frac{1}{98}\right)....\left(1-\frac{1}{1000}\right)\)
\(=\frac{96}{97}\times\frac{97}{98}\times....\times\frac{999}{1000}\)
\(=\frac{96\times97\times.....\times999}{97\times98\times....\times1000}\)
\(=\frac{96\times\left(97\times98\times....\times999\right)}{\left(97\times98\times.....\times999\right)\times1000}=\frac{96}{1000}=\frac{12}{125}\)
\(=\frac{96}{97}\times\frac{97}{98}\times...\times\frac{999}{1000}=\frac{96}{1000}=0,096\)
Tính: ( 1-1/97) x ( 1- 1/98) x ... x ( 1- 1/1000) = ...
( các bạn trả lời vui lòng ghi cách giải nhé )
\(=\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{999}{1000}=\frac{96\cdot97\cdot...\cdot999}{97\cdot98\cdot...\cdot1000}=\frac{96\cdot1\cdot....\cdot1}{1\cdot1\cdot....\cdot1\cdot1000}=\frac{96}{1000}=\frac{12}{125}\)
96/97x97/98x....x999/1000
=96x97x...x999x1000/97x98x...x999x1000
=96/1000
=12/125