Tính tổng
1/1x1/2x1/3x1/4x...x99/100
Tính tổng
1/1x1/2x1/3x1/4x...x99/100
Viết chương trình tính 1x1/2x1/3x1/100 sử dụng vòng lặp while...do
Bài 1:Chứng tỏ:
a)1x1/2+1/2x1/3+1/3x1/4+...+1/99x1/100<1
Tìm y biết 3 x y x (1/1 x 1/2 + 1/2 x 1/3 + 1/3 x 1/4 + 1/4 x 1/5 + 1/5 x 1/6) = 3/4
Ta thấy: 1/1x1/2 = 1/1-1/2 ; 1/2x1/3 = ½-1/3 ; 1/3x1/4=1/3-1/4 ; 1/4x1/5=1/4-1/5 ; 1/5x1/6=1/5-1/6
Nên
1/1 x 1/2 + 1/2 x 1/3 + 1/3 x 1/4 + 1/4 x 1/5 + 1/5 x 1/6 =
1/1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6 = 1/1-1/6= 5/6
Hay 3 x y x 5/6 = 3/4
y x 15/6 = 3/4
y= 3/4 : 15/6
y = 3/10
sợ sai lắm
1/1x1/2+1/2x1/3+1/3x1/4+...+1/79x1/80
\(\frac{1}{1}\cdot\frac{1}{2}+\frac{1}{2}\cdot\frac{1}{3}+\frac{1}{3}\cdot\frac{1}{4}+...+\frac{1}{79}\cdot\frac{1}{80}\)
\(=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{79\cdot80}\)
\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}+...+\frac{1}{79}-\frac{1}{80}\)
\(=1-\frac{1}{80}\)
\(=\frac{79}{80}\)
(1/1x1/2) + (1/2x1/3) + (1/3x1/4) + (1/4x1/5) +....+ (1/72x1/73) =
`@Fù`
`=1/(1×2)+1/(2×3)+1/(3×4)+...+1/(72×73)`
`=1/1-1/2+1/2-1/3+...+1/72-1/73`
`=1-1/73`
`=72/73`
1/1x1/2+1/2x1/3+1/3x1/4+1/4x1/5+1/5x1/6
= 1/1x2 + 1/2x3 + 1/3x4 + 1/4x5 + 1/5 x 6
= (1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6)
= 1 - 1/6
= 5/6
nha,mơn nhìu
\(\frac{1}{1}x\frac{1}{2}+\frac{1}{2}x\frac{1}{3}+\frac{1}{3}x\frac{1}{4}+\frac{1}{4}x\frac{1}{5}+\frac{1}{5}x\frac{1}{6}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)
\(=1-\frac{1}{6}=\frac{5}{6}\)
1/2x1/3x1/4x...X1/10
1x1+1X2+3X1+5=
1*1+ 1* 2 + 3* 1 + 5 = 1 + 2 + 3 + 5
= 11
tinh nhanh (5/12+1/2x1/3):(2x1/3-1x1/12) giup mình
Đề bài
= ( 5/12 + 1/6 ) : ( 2/3 - 1/12 )
= ( 5/12 + 2/12 ) : ( 8/12 - 1/12 )
= 7/12 : 7/12
= 1
K Trắng nha .