1 1/2 x 1 1/3 x 1 1/4 x 1 1/5 x ........x 1 1/2006 x 1 1/2007
Những câu hỏi liên quan
Tính bằng cách nhanh nhất :
a. ( 1-1/2 ) x ( 1 -1/3) x ( 1-1/4) x.... x ( 1-18)x ( 1-1/19 ) x ( 1 - 1/20 )
b. 3/2 x 4/3 x 5/4 x ..... x 2006/2005 x 2007/2006 x 2008/2007
giải hộ mih nhé
a)=1/2*2/3......*19/20
=1/20
b)=3/2*4/3......*2008/2007
=3/2007
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C= (1/2-1)x(1/3-1)x(1/4-1)x...x(1/2006-1)x(1/2007-1)
Ta có:\(C=\left(\dfrac{1}{2}-1\right)\times\left(\dfrac{1}{3}-1\right)\times\left(\dfrac{1}{4}-1\right)\times...\times\left(\dfrac{1}{2006}-1\right)\times\left(\dfrac{1}{2007}-1\right)\)
\(=\dfrac{-1}{2}\times\dfrac{-2}{3}\times\dfrac{-3}{4}\times...\times\dfrac{-2005}{2006}\times\dfrac{-2006}{2007}\)
\(=\dfrac{1}{2007}\)
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Ta có: \(C=\left(\dfrac{1}{2}-1\right)\left(\dfrac{1}{3}-1\right)\cdot...\cdot\left(\dfrac{1}{2006}-1\right)\left(\dfrac{1}{2007}-1\right)\)
\(=\dfrac{-1}{2}\cdot\dfrac{-2}{3}\cdot\dfrac{-3}{4}\cdot...\cdot\dfrac{-2005}{2006}\cdot\dfrac{-2006}{2007}\)
\(=\dfrac{1}{2007}\)
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Giải phương trình (1/1*2*3+1/2*3*4+1/3*4*5+...+1/2005*2006*2007)x=1*2+2*3+...+2006*2007
Tính;
a) (1-1/2) x ( 1-1/3) x ( 1-1/4 ) x ( 1-1/19) x ( 1-1/20)
b) 1 1/2 x 1 1/3 x 1 1/4 x 1 1/5 x 1 1/2005 x 1 1/2006 x 1 1/2007(hỗn số hết nhé)
GIải hộ mình vs nhé
giai cac phuong trinh sau :
a, 1/x^2+5x+4+1/x^2+11x+28+1/x^2+17x+70=3/6x-2005
b, x+1/x-1+x-2/x+2+x-3/x+3+x+4/x-4=4
c, 1/4x-2006+1/5x+2004=1/15x-2007-1.6x-2005
d, 4x+16/x+6-3/x+1=5/x+3+7/x+5
Bài1:So sánh
A=2006/987654321+2007/246813579
B=2007/987654321+2006/246813579
b)1965/1976 và 1973/1975
Bài2:Tìm x
a)3 - (5 và 3/8 + x - 7 và 5/24):6 và 2/3=2
b) (1/1*2+1/2*3+1/3*4+1/4*5+1/5*6)*10 - x=0
Bài3:Tính nhanh
A=1/2+1/4+1/8+1/16+1/32+1/64+1/128+1/256
1. 2006/987654321 + 2007/246813579 = 2007/246813579 + 2006/987654321
=>
2.
3 - (5.3/8 + X - 7 . 5/24) : 6 . 2/3 =2
3 - (15/8 + X - 35/24) : 4 = 2
3 - (15/8 + X - 35/24) = 2 . 4
3 - (15/8 + X - 35/24) = 8
15/8 + X - 35/24 = 3 - 8
15/8 + X - 35/24 = -5
15/8 + X = -5 + 35/24
15/8 + X = -85/24
X = -85/24 - 15/8
X = -65/12
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Câu 1: Tính bằng cách thuận tiên;
E=(1-1/2)x(1-1/3)x(1-1/4)x........x(1-1/2006)x(1-1/2007)
Câu 2: Tính giá trị biểu thức;
3 và 2/9- (1 và 5/8+1 và 2/9)- 3/8
4x15x9x24/3x12x8x5
\(E=\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)....\left(1-\frac{1}{2006}\right)\left(1-\frac{1}{2007}\right)\)
\(E=\frac{1}{2}.\frac{2}{3}....\frac{2005}{2006}.\frac{2006}{2007}\)
\(E=\frac{1.2.3.4...2005.2006}{2.3.4.5....2006.2007}\)
\(E=\frac{1}{2007}\)
\(\frac{4.15.9.24}{3.12.8.5}\)
\(=\frac{1.5.3.3}{1.1.1.5}\)
\(=\frac{45}{5}=9\)
Tim x,bietx/1×2+x/2×3+x/3×4+...+x/2006×2007=2006/2007
\(x-\frac{x}{2}+\frac{x}{2}-\frac{x}{3}+...+\frac{x}{2006}-\frac{x}{2007}=\frac{2006}{2007}\)
\(x-\frac{x}{2007}=\frac{2006}{2007}\)
\(\frac{2007x-x}{2007}=\frac{2006}{2007}\)
\(\frac{2006x}{2007}=\frac{2006}{2007}\Rightarrow2006x=2006\)
=>x=1
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a)\(\left(1-\frac{1}{2}\right)x\left(1-\frac{1}{3}\right)x\left(1-\frac{1}{4}\right)x\left(1-\frac{1}{5}\right)x......x\left(1-\frac{1}{18}\right)x\left(1-\frac{1}{19}\right)x\left(1-\frac{1}{20}\right)\)
b)\(1\frac{1}{2}x1\frac{1}{3}x1\frac{1}{4}x1\frac{1}{5}x......x1\frac{1}{2005}x1\frac{1}{2006}x1\frac{1}{2007}\)
\(x\)là dấu nhân hả bạn? Nếu vậy thì mk làm cho nhé
\(A=\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot....\cdot\left(1-\frac{1}{20}\right)\)
\(A=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot.......\cdot\frac{17}{18}\cdot\frac{18}{19}\cdot\frac{19}{20}=\frac{1}{20}\)
Vậy \(A=\frac{1}{20}\)
\(B=1\frac{1}{2}\cdot1\frac{1}{3}\cdot1\frac{1}{4}\cdot........\cdot1\frac{1}{2005}\cdot1\frac{1}{2006}\cdot1\frac{1}{2007}\)
\(B=\frac{3}{2}\cdot\frac{4}{3}\cdot\frac{5}{4}\cdot......\cdot\frac{2006}{2005}\cdot\frac{2007}{2006}\cdot\frac{2008}{2007}=\frac{2008}{2}=1004\)
Vậy \(B=1004\)
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DẤU CHẤM LÀ DẤU NHÂN
a,
\(=\frac{1}{2}.\frac{2}{3}.\frac{3}{4}....\frac{19}{20}=\frac{1}{20}\)
b, \(1\frac{1}{2}.1\frac{1}{3}....1\frac{1}{2017}=\frac{3}{2}.\frac{4}{3}....\frac{2018}{2017}=\frac{2018}{2}=1009\)
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