Bài1: 1.4*2012*6+4.2*4024+8.4*976/1+2+3+4+.....+999
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\(\frac{1,4.2012.6+4,2.4024+8,4.976}{1+2+3+4+...+999}\)
\(=\frac{8,4.2012+4,2.2.2012+8,4.976}{1+2+3+4+...+999}\)
\(=\frac{8,4\left(2012+2012+976\right)}{1+2+3+4+...+999}\)
\(=\frac{8,4.5000}{500.999}\)
\(=\frac{84.500}{999.500}\)
\(=\frac{84}{999}\)
\(=\frac{28}{333}\)
\(a,27.75+27.25\)
\(=27.\left(75+25\right)\)
\(=27.100\)
\(=2700\)
\(b,\left(-6\right)+20+\left(-4\right)\)
\(=\left(-6-4\right)+20\)
\(=-10+20\)
\(=10\)
\(c,2^2.3^1-\left(1^{2012}+2012^0\right):2\)
\(=4.3-\left(1+1\right):2\)
\(=12-2:2\)
\(=12-1\)
\(=11\)
a)27.75+27.25
=27.(75+25)
=27.100
=2700
b)(-6)+20+(-4)
=[(-6)+(-4)]+20
=(-10)+20
=10
c)22.3-(12012+20120):2
=12-2:2
=12-1
=11
\(\frac{1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2012}}{\frac{2013}{1}+\frac{2014}{2}+\frac{2015}{3}+...+\frac{4024}{2012}-2012}\)
\(=\frac{1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2012}}{\left(\frac{2013}{1}-1\right)+\left(\frac{2014}{2}-1\right)+\left(\frac{2015}{3}-1\right)+...+\left(\frac{4024}{2012}-1\right)}\)
\(=\frac{1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2012}}{\frac{2012}{1}+\frac{2012}{2}+\frac{2012}{3}+...+\frac{2012}{2012}}\)
\(=\frac{1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2012}}{2012.\left(1+\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2012}\right)}\)
\(=\frac{1}{2012}\)
Ủng hộ mk nha ^_-
\(\Leftrightarrow\dfrac{2\cdot3\cdot...\cdot31}{\left(2\cdot3\cdot...\cdot31\right)\cdot\left(2\cdot2\cdot...\cdot2\right)\cdot2^6}=2^x\)
=>2^x=1/2^36
=>x=-36
ta co: 1/4=1/2(1+1) ;
2/6 = 1+1/2(2+1).....
=>ve trai =n/2(n+1).(n+1)/2(n+2).(n+2)/2(n+3).....
= (1/2)^36
=> n= - 36