Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
= 1/1x2 + 1/2x3 + 1/3x4 ...... +1/9x10
= 1-1/2+1/2-1/3+1/3-1/4+........+1/9-1/10
=1-1/10=9/10
đặt A=1/1 x 1/2 + 1/2 x 1/3 + 1/3 + 1/4 + .......... + 1/9 x 1/10
\(A=\frac{1}{1}\cdot\frac{1}{2}+\frac{1}{2}\cdot\frac{1}{3}+...+\frac{1}{9}\cdot\frac{1}{10}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{9.10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
đặt B=2/1 x 2 + 2/2 x 3 + 2/3 x4 + .............. + 2/98 x 99 + 2/99 x 100
\(B=2\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{99.100}\right)\)
\(=2\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(=2\left(1-\frac{1}{100}\right)\)
\(=2\times\frac{99}{100}\)
\(=\frac{99}{50}\)
1/1*2 + 1/2*3 + 1/3*4 + .... + 1/99 * 100
= 1- 1/100
= 99/100
A = ( 1- 1/95 ) x ( 1 - 1/96 ) x ( 1-1/97 ) x ( 1-1/98 ) x ( 1 - 1/99 ) tính thuận tiện nhé giúp với
A = (1 - 1/95) . ( 1 - 1/96) . (1 - 1/97) . (1 - 1/98) . ( 1 - 1/99)
A = 94/95 . 95/96 . 96/97 . 97/98 . 98/99
A = \(\dfrac{94.95.96.97.98}{95.96.97.98.99}\)
A = 94/99
Vậy A = 94/99
- HokTot -
\(A=\left(1-\dfrac{1}{95}\right)\times\left(1-\dfrac{1}{96}\right)\times\left(1-\dfrac{1}{97}\right)\times\left(1-\dfrac{1}{98}\right)\times\left(1-\dfrac{1}{99}\right)\)
\(A=\dfrac{94}{95}\times\dfrac{95}{96}\times\dfrac{96}{97}\times\dfrac{97}{98}\times\dfrac{98}{99}\)
\(A=\dfrac{94\times95\times96\times97\times98}{95\times96\times97\times98\times99}\)
\(A=\dfrac{94}{99}\) (gạch bỏ những số giống nhau)
\(=\frac{96}{97}\cdot\frac{97}{98}\cdot...\cdot\frac{1997}{1998}=\frac{96\cdot97\cdot...\cdot1997}{97\cdot98\cdot...\cdot1998}=\frac{96\cdot1\cdot...\cdot1}{1\cdot1\cdot...\cdot1\cdot1998}=\frac{96}{1998}=\frac{16}{333}\)
Bài 3:
= 1- 1/2 + 1/2 -1/3 +...+ 1/98 -1/99
= 1- 1/99
= 98/99
Bài 4:
= 1/2*3 + 1/3*4 + 1/4*5 +...+ 1/10*11
= 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5 +...+ 1/10 - 1/11
= 1/2 - 1/11= 9/22
\(\left(1+\frac{1}{100}\right).\left(1+\frac{1}{99}\right)+\left(1+\frac{1}{98}\right)+....+\left(1+\frac{1}{2}\right)\)
= \(\frac{101}{100}.\frac{100}{99}.\frac{99}{98}.....\frac{3}{2}\)
= \(\frac{100}{2}\)
= 50
a ) 37 x 27 + 63 x 27
= ( 37 + 63 ) x 27
= 100 x 27
= 2700
b ) 1 + 2 + 3 + 4 + ... + 97 + 98 + 99
= ( 99 - 1 ) : 1 + 1
= 99 x ( 99 + 1 ) : 2
= 4950
c ) 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
= ( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4 + 6 ) + ( 5 + 10 )
= 10 + 10 + 10 + 10 + 15
= 55
A = 1\(\dfrac{1}{9}\) x 1\(\dfrac{1}{10}\)x 1\(\dfrac{1}{11}\) x ......x 1\(\dfrac{1}{98}\) x 1\(\dfrac{1}{99}\)
A = \(\dfrac{10}{9}\)x \(\dfrac{11}{10}\)x............x \(\dfrac{99}{98}\) x \(\dfrac{100}{99}\)
A = \(\dfrac{100}{9}\)
đề lạ zậy :)) Ghi rõ đề , rồi giải cho