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Cho A= \(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+.......+\dfrac{1}{3^{2018}}+\dfrac{1}{3^{2019}}\) . Chứng minh rằng: A<\(\dfrac{1}{2}\)
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1) Tính dfrac{7^4.3-7^3}{7^4.6-7^3.2} ; dfrac{10^3+5.10^2+5}{6^3+3.6^2+3^2} ; E1+dfrac{1}{3}+dfrac{1}{3^2}+...+dfrac{1}{3^{100}} 2) Tìm x biếtdfrac{1}{1.2}+dfrac{1}{2.3}+dfrac{1}{3.4}+...+dfrac{1}{x.left(x+1right)} ; 3^{x+1}+3^{x+3}810 MN ƠI ! GIÚP MIK VS .
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1) Tính
\(\dfrac{7^4.3-7^3}{7^4.6-7^3.2}\) ; \(\dfrac{10^3+5.10^2+5}{6^3+3.6^2+3^2}\) ; \(E=1+\dfrac{1}{3}+\dfrac{1}{3^2}+...+\dfrac{1}{3^{100}}\)
2) Tìm x biết
\(\dfrac{1}{1.2}+\dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{x.\left(x+1\right)}\) ; \(3^{x+1}+3^{x+3}=810\)
MN ƠI ! GIÚP MIK VS > . <
Tính
A ) (\(\dfrac{1}{3}\))2 . 9 . 3 -\(\dfrac{1}{2}\)
B) \(\dfrac{1}{4}\)+\(\dfrac{3}{4}\) . \(\dfrac{2}{5}\)
Tính A= \(\dfrac{1}{2}+\dfrac{1}{2}.\left(1+2\right)+\dfrac{1}{3}.\left(1+2+3\right)+...+\dfrac{1}{100}.\left(1+2+3+...+100\right)\)
Tính:
a) A 2100 - 299 - 298 -....- 2
b) B (1-dfrac{1}{2}) . (1-dfrac{1}{3}) . (1-dfrac{1}{4} ) .........(1-dfrac{1}{2018})
c) C (1+dfrac{1}{2}) + (1+dfrac{1}{3}) + (1+dfrac{1}{4}) +.....+ (1+dfrac{1}{2018})
d) dfrac{1}{1.2} + dfrac{1}{2.3} + dfrac{1}{3.4} +...+ dfrac{1}{99.100}
e) dfrac{1}{3.5} + dfrac{1}{5.7} + dfrac{1}{7.9} +....+ dfrac{1}{97.99}
Các Bạn giúp mình với! Mình cảm ơn nhiều ☺
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Tính:
a) A= 2100 - 299 - 298 -....- 2
b) B= (1-\(\dfrac{1}{2}\)) . (1-\(\dfrac{1}{3}\)) . (1-\(\dfrac{1}{4}\) ) .........(1-\(\dfrac{1}{2018}\))
c) C= (1+\(\dfrac{1}{2}\)) + (1+\(\dfrac{1}{3}\)) + (1+\(\dfrac{1}{4}\)) +.....+ (1+\(\dfrac{1}{2018}\))
d) \(\dfrac{1}{1.2}\) + \(\dfrac{1}{2.3}\) + \(\dfrac{1}{3.4}\) +...+ \(\dfrac{1}{99.100}\)
e) \(\dfrac{1}{3.5}\) + \(\dfrac{1}{5.7}\) + \(\dfrac{1}{7.9}\) +....+ \(\dfrac{1}{97.99}\)
Các Bạn giúp mình với! Mình cảm ơn nhiều ☺
Cần giúp nhanh vsBài 1. Tìm xa) left|x+dfrac{7}{4}right|dfrac{1}{2}b) left|2x+1right|-dfrac{2}{5}dfrac{1}{3}c) 3x.left(x+dfrac{2}{3}right)0d) x+dfrac{1}{3}dfrac{2}{5}-left(-dfrac{1}{3}right)Bài 2. Tính nhanhAdfrac{1}{100}-dfrac{1}{100.99}-dfrac{1}{99.98}-dfrac{1}{98.97}-....-dfrac{1}{3.2}-dfrac{1}{2.1}
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Cần giúp nhanh vs
Bài 1. Tìm x
a) \(\left|x+\dfrac{7}{4}\right|=\dfrac{1}{2}\)
b) \(\left|2x+1\right|-\dfrac{2}{5}=\dfrac{1}{3}\)
c) \(3x.\left(x+\dfrac{2}{3}\right)=0\)
d) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\left(-\dfrac{1}{3}\right)\)
Bài 2. Tính nhanh
\(A=\dfrac{1}{100}-\dfrac{1}{100.99}-\dfrac{1}{99.98}-\dfrac{1}{98.97}-....-\dfrac{1}{3.2}-\dfrac{1}{2.1}\)
Tính:left(dfrac{9}{25}-2.18right):left(3dfrac{4}{5}+0,2right) dfrac{3}{8}.19dfrac{1}{3}dfrac{3}{8}.33dfrac{1}{3} 15.left(-dfrac{2}{3}right)^2-dfrac{7}{3} dfrac{1}{2}sqrt{64}-sqrt{dfrac{4}{25}}+left(-1right)^{2007} left(-dfrac{5}{2}right)^2:left(-15right)-left(0,45+dfrac{3}{4}right).left(-1dfrac{5}{9}right)left(dfrac{-1}{3}right)-left(dfrac{-3}{5}right)^0+left(1-dfrac{1}{2}right)^2:2 left(dfrac{1}{2}right)^{15}.left(dfrac{1}{4}right)^{20}dfrac{5^4.20}{25^5.4^5}
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Tính:
\(\left(\dfrac{9}{25}-2.18\right):\left(3\dfrac{4}{5}+0,2\right)\)
\(\dfrac{3}{8}.19\dfrac{1}{3}\dfrac{3}{8}.33\dfrac{1}{3}\)
\(15.\left(-\dfrac{2}{3}\right)^2-\dfrac{7}{3}\)
\(\dfrac{1}{2}\sqrt{64}-\sqrt{\dfrac{4}{25}}+\left(-1\right)^{2007}\)
\(\left(-\dfrac{5}{2}\right)^2:\left(-15\right)-\left(0,45+\dfrac{3}{4}\right).\left(-1\dfrac{5}{9}\right)\)
\(\left(\dfrac{-1}{3}\right)-\left(\dfrac{-3}{5}\right)^0+\left(1-\dfrac{1}{2}\right)^2:2\)
\(\left(\dfrac{1}{2}\right)^{15}.\left(\dfrac{1}{4}\right)^{20}\)
\(\dfrac{5^4.20}{25^5.4^5}\)
Tính
a, \(5\dfrac{4}{13}.14\dfrac{3}{41}-5\dfrac{4}{13}.2\dfrac{3}{41}\)
b, \(\dfrac{2^3}{3^3}:\dfrac{16}{27}+\dfrac{2017}{2018}-\dfrac{1}{2}.2017^0\)
c, \(3:\left(\dfrac{-3}{2}\right)^2+\dfrac{1}{9}.\sqrt{36}\)
Tính :
\(E=\dfrac{\left(13\dfrac{1}{4}-2\dfrac{5}{27}-10\dfrac{5}{6}\right).230\dfrac{1}{25}+46\dfrac{3}{4}}{\left(1\dfrac{3}{7}+\dfrac{10}{3}\right):\left(12\dfrac{1}{3}-14\dfrac{2}{7}\right)}\)