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aaaaaa : (a x 37) – 4866 : (2 x 3)
= aaaaaa : a : 37 – 4866 : 6
= 111111 : 37 – 811
= 3003 – 811
= 2192
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
aaaaaa : (a x 37) - 4866 : (2 x 3)
= aaaaaa : a : 37 - 4866 : 6
= 111111 : 37 - 811
= 3003 - 811
= 2192
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{a.\left(a+1\right)}=\frac{49}{100}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{a}-\frac{1}{a+1}=\frac{49}{100}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{a+1}=\frac{49}{100}\)
\(\Rightarrow\frac{1}{a+1}=\frac{1}{100}\)
\(\Rightarrow a+1=100\)
\(\Rightarrow a=99\)
=>1/2-1/3+1/3-1/4+...+1/a-1/a+1=49/100
=>1/2-1/a+1=49/100
=>1/a+1=49/100+1/2
=>1/a+1=99/100
=>\(\frac{99}{\left(a+1\right).99}=\frac{99}{100}\)
=>(a+1).99=100
=>a+1=100/99
=>a=100/99-1
=>a=1/99
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A = \(\frac{1}{1}\)- \(\frac{1}{2}\)+ \(\frac{1}{2}\)- \(\frac{1}{3}\)+ \(\frac{1}{3}\)- \(\frac{1}{4}\)
A = 1 - \(\frac{1}{4}\)
A = \(\frac{3}{4}\)
A = 2 + 3/2 + 4/3
A = 2/1 + 3/2 + 4/3
A = 12 / 6 + 9 / 6 + 8 / 6
A = 12/6 + ( 9/6 + 8/6 )
A = 12/6 + 17/6
A = 29/6
haiz khó thế