Tính:
a) 1/15+135+1/63+1/99+1/143+1/195+1/255+1/323
b) 1/2 x 6+1/4 x 9+ 1/ 6 x12 +.............. + 1/36 x 37+1/ 38 x 60
Những câu hỏi liên quan
tìm x biết
x-6/15 - 6/63 - 6/99 - 6/143 - 6/195 = 1/5
tìm x
\(\left(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\right)+x=1\frac{2}{15}\)
<=> \(\left(\frac{1}{3\cdot5}+\frac{1}{5.7}+...+\frac{1}{13\cdot15}\right)+x=\frac{17}{15}\)
<=> \(\frac{1}{2}\cdot\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-...-\frac{1}{15}\right)+x=\frac{17}{15}\)
<=>\(\frac{1}{2}\cdot\left(\frac{1}{3}-\frac{1}{15}\right)+x=\frac{17}{15}\)
<=> \(\frac{2}{15}+x=\frac{17}{15}\)
=> x = 1
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(1/3.5+1/5.7+1/7.9+1/9.11+1/11.13+1/13.15)+x=17/15
[2.(1/3-1/5+1/5-1/7+...+1/13-1/15)]+x=17/15
[2.(1/3-1/15)]+x=17/15
(2.4/15)+x=17/15
6/15+x=17/15
x=17/15-6/15
x=11/15
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1\3+1\15+1\35+1\63+1\99+1\143=1\195
1414+1515+1616+1717+1818+1919
2020+2121+2323+2424+2525
2 tim x
( 7*13+8*13):(29\3 tru x) bang 39
1\3+1\6+1\10+.....+2\x*(x+1) bang 2011\203
Tìm x
a. (x-2)×(x+3)<0 với x€Z
b. (1/15+1/35+1/63+1/99+1/143+1/195) ×5x=5+1/3
a) (x-2)(x+3) <0 => x-2 và x+3 phải trái dấu
=> x-2<0 và x+3>0
hoặc x-2>0 và x+3<0
=> x<2 và x>-3 => -3<x<2
hoặc x>2 và x<-3 ( vô lý ) ( loại )
=> x \(\in\) { -2;-1;0;1 }
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1,tính nhanh
a,1+3+5+7+9+....+2007++2009+2011x(125125x127+127127x125)
b,\(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\)
2,Tìm \(x\)
\(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+....+\frac{2}{x\cdot\left(x+1\right)}=\frac{1011}{2013}\)
\(\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\)
\(=\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+...+\frac{1}{13\cdot15}\)
\(=\frac{1}{2}\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+...+\frac{2}{13\cdot15}\right)\)
\(=\frac{1}{2}\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\right)\)
\(=\frac{1}{2}\left(1-\frac{1}{15}\right)\)
\(=\frac{1}{2}\cdot\frac{14}{15}\)
\(=\frac{7}{15}\)
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Sửa đề chút nhé:
\(\left(1+3+5+7+...+2009+2011\right).\left(125125.127-127127.125\right)\)
\(=\left(1+3+5+7+...+2009+2011\right).\left(125.1001.127-127.1001.125\right)\)
\(=\left(1+3+5+7+...+2009+2011\right).0\)
\(=0\)
Ý b tham khảo bài bạn nguyen thi thuy linh nhé
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\(\text{Tính nhanh : }\)
\(a,\text{ }1+3+5+7+9+\text{...}+2007+2009+2011\cdot\left(125125\cdot127+127127\cdot125\right)\)
\(=\left\{\left(2009-1\right)\text{ : }2+1\right\}\cdot\left(2009+1\right)\text{ : }2+2011\cdot\left(125125\cdot127+127127\cdot125\right)\)
\(=1005\cdot2010\text{ : }2+2011\cdot\left(125125\cdot127+127127\cdot125\right)\)
\(=2020050\text{ : }2+2011\cdot\left(125125\cdot127+127127\cdot125\right)\)
\(=1010025+2011\cdot\left(125125\cdot127+127127\cdot125\right)\)
\(=1010025+2011\cdot\left(15890875+15890875\right)\)
\(=1010025+2011\cdot15890875\cdot2\)
\(=1010025+31956549625\cdot2\)
\(=1010025+63913099250\)
\(=63914109275\)
\(b,\text{ }\frac{1}{3}+\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\)
\(=\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+\frac{1}{9\cdot11}+\frac{1}{11\cdot13}+\frac{1}{13\cdot15}\)
\(=1-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{13}-\frac{1}{15}\)
\(=1-\frac{1}{15}\)
\(=\frac{14}{15}\)
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tính nhanh
a}1/15 + 1/35 + 1/63 + 1/99 + 1/143 + 1/195 b}1/3 + 1/6 + 1/12 + 1/24 + 1/48 +1/96
c}1/1000 + 13/1000 + 25/1000 + 37/1000 +....+229/1000 d}2012 x 2014 -1/2011 + 2012 + 2013 x 7/5
Ta có :
a) \(\frac{1}{15}+\frac{1}{35}+\frac{1}{63}+\frac{1}{99}+\frac{1}{143}+\frac{1}{195}\)
\(=\)\(\frac{1}{2}\left(\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}+\frac{2}{11.13}+\frac{2}{13.15}\right)\)
\(=\)\(\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}+\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}\right)\)
\(=\)\(\frac{1}{2}\left(\frac{1}{3}-\frac{1}{15}\right)\)
\(=\)\(\frac{1}{2}.\frac{4}{15}\)
\(=\)\(\frac{2}{15}\)
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Ta có :
\(c)\)\(\frac{1}{1000}+\frac{13}{1000}+\frac{25}{1000}+\frac{37}{1000}+...+\frac{229}{1000}\)
\(=\)\(\frac{1+13+25+37+...+229}{1000}\)
Xét tổng \(1+13+25+37+...+229\):
Số số hạng : \(\left(229-1\right):12+1=20\) ( số hạng )
Tổng : \(\frac{\left(229+1\right).20}{2}=2300\)
Do đó :
\(\frac{1+13+25+37+...+229}{1000}=\frac{2300}{1000}=\frac{23}{10}\)
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Bài 1 :So sánh
A= 2^19 .27^3+15.4^9.9^4/6^9.2^10+12^10 va B = 4/35+4/63+4/99+4/143+4/195
Bài 2 : tìm x biết :
60%.x+0,4.x +x:3=2
BÀI 2
60%.x + 0,4.x + x:3= 2
\(\frac{60}{100}\)x + \(\frac{4}{10}\).x + x. \(\frac{1}{3}\)=2
\(\frac{3}{5}\).x + \(\frac{2}{5}\).x + x.\(\frac{1}{3}\)=2
(\(\frac{3}{5}\)+ \(\frac{2}{5}\)+ \(\frac{1}{3}\)) .x =2
\(\frac{4}{3}\).x =2
x = 2: \(\frac{4}{3}\)
x = \(\frac{3}{2}\)
Vậy x=\(\frac{3}{2}\)
k cho mik nha các bạn
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Bài 2 :
60%x + 0.4x + x : 3 = 2
\(x.\left(\frac{60}{100}+\frac{2}{5}+\frac{1}{3}\right)\)= 2
\(x.\frac{4}{3}\)= 2
\(x=2.\frac{3}{4}\)
\(x=1.5\)
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CMR:\(\dfrac{1}{15}+\dfrac{1}{35}+\dfrac{1}{63}+\dfrac{1}{99}+\dfrac{1}{143}+\dfrac{1}{195}< x+\dfrac{1}{30}\)
\(\dfrac{1}{15}+\dfrac{1}{35}+\dfrac{1}{63}+\dfrac{1}{99}+\dfrac{1}{143}+\dfrac{1}{195}\)
= \(\dfrac{1}{3.5}+\dfrac{1}{5.7}+\dfrac{1}{7.9}+\dfrac{1}{9.11}+\dfrac{1}{11.13}+\dfrac{1}{13.15}\)
= 2(\(\dfrac{1}{3.5}+\dfrac{1}{5.7}+\dfrac{1}{7.9}+\dfrac{1}{9.11}+\dfrac{1}{11.13}+\dfrac{1}{13.15}\)) :2
= (\(\dfrac{2}{3.5}+\dfrac{2}{5.7}+\dfrac{2}{7.9}+\dfrac{2}{9.11}+\dfrac{2}{11.13}+\dfrac{2}{13.15}\)) : 2
= (\(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}+\dfrac{1}{11}\) \(-\dfrac{1}{13}+\dfrac{1}{13}\)\(-\dfrac{1}{15}\)):2
= (\(\dfrac{1}{3}-\dfrac{1}{15}\)) :2
= \(\dfrac{4}{15}\): 2 = \(\dfrac{2}{15}\)
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Xin các anh các chị giải dùm e ạ e xin cảm ơn nhìu 1. TÍNH a) 5/7 × 5/11 + 5/7 × 211 - 5/7 × 14/14 b) 20/9 ÷ 10/9 - 46/5 ÷ 23/5c) 28/15 × (0,5)^2 × 3 + (8/15 + 79/60) ÷ 47/24d) 1/15 + 1/35 + 1/63 + 1/99 + 1/143 + 1/1952. TÌM Xa) 3/2 + x 3/2 -7b) 4/5x 8/35 ÷ 4/7c) 3/5x -1/21/7d) 1-( 43/8 + x - 36/24) ÷ (-46/3)03. Tìm x thuộc z sau cho 2x+1/x-3 cũng là số tự nhiên Máy a máy chị làm dc câu nào làm dùm e nha
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Xin các anh các chị giải dùm e ạ e xin cảm ơn nhìu
1. TÍNH
a) 5/7 × 5/11 + 5/7 × 211 - 5/7 × 14/14
b) 20/9 ÷ 10/9 - 46/5 ÷ 23/5
c) 28/15 × (0,5)^2 × 3 + (8/15 + 79/60) ÷ 47/24
d) 1/15 + 1/35 + 1/63 + 1/99 + 1/143 + 1/195
2. TÌM X
a) 3/2 + x = 3/2 -7
b) 4/5x = 8/35 ÷ 4/7
c) 3/5x -1/2=1/7
d) 1-( 43/8 + x - 36/24) ÷ (-46/3)=0
3. Tìm x thuộc z sau cho 2x+1/x-3 cũng là số tự nhiên
Máy a máy chị làm dc câu nào làm dùm e nha
Ko mìk ko đi chơi bạn giải dc câu nào ko giải giúp mìk vs
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