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x - (2/11.13 + 2/13.15 + 2/15.17 +...+ 2/53.55) = 3/11
=> x - (1/11 - 1/13 + 1/13 - 1/15 + 1/15 - 1/17 +...+ 1/53 - 1/55) = 3/11
=> x - (1/11 - 1/55) = 3/11
=> x - (5/55 - 1/55) = 3/11
=> x - 4/55 = 15/55
=> x = 15/55 + 4/55
=> x = 19/55
Đặt \(A=\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}+\frac{2}{17.19}+\frac{2}{19.21}^{ }\)
\(A=\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+\frac{1}{17}-\frac{1}{19}+\frac{1}{19}-\frac{1}{21}\)
\(A=\frac{1}{11}-\frac{1}{21}\)
\(A=\frac{10}{231}\)
Thay \(A=\frac{10}{231}\) vào ta có
\(\frac{10}{231}.462-x=19\)
\(20-x=19\)
\(x=20-19\)
\(x=1\)
=(1/11-1/13)+(1/13-1/15)+(1/15-1/17)+(1/17-1/19)+(1/19-1/21)*462-X=19
=(1/11-1/21)*462-X=19
=10/231*462-X=19
=20-X=19
=X=20-19
=X=1
lop nam cung lam duoc
a.x-2/11.13-2/13.15-2/15.17-...-2/55.57=4/3
=>x-(2/11.13+2/13.15+2/15.17+...+2/55.57)=4/3
=>x-(1/11-1/13+1/13-1/15+...+1/55-1/57)=4/3
=>x-(1/11-1/57)=4/3
=>x-46/627=4/3
=>x=4/3+46/627=294/209
Gọi A = 2/11.13 +2/13.15+2/15.17 +...+2/53.55
=> A = 1/11-1/13+1/13-1/15+...+1/53-1/55
=> A = 1/11-1/55
=> A = 4/55
Đúng 100%
\(\frac{2}{11.13}+\frac{2}{13.15}+.....+\frac{2}{209.211}\)
\(=\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}\)\(+.....+\frac{1}{209}-\frac{1}{211}\)
\(=\frac{1}{11}-\frac{1}{211}=\frac{200}{2321}\)
hok tốt
Đặt \(A=\text{2 : [ 11.13 ] + 2 : [ 13.15 ] + 2 : [ 15.17 ] + ...+ 2 : [ 209.211]}\)
\(\Rightarrow A=\frac{2}{11.13}+\frac{2}{13.15}+\frac{2}{15.17}...+\frac{2}{209.211}\)
\(\Rightarrow A=\frac{1}{11}-\frac{1}{13}+\frac{1}{13}-\frac{1}{15}+\frac{1}{15}-\frac{1}{17}+...+\frac{1}{209}-\frac{1}{211}\)
\(\Rightarrow A=\frac{1}{11}-\frac{1}{211}\)
\(\Rightarrow A=\frac{200}{2321}\)
~Study well~
Sai thì thôi nhé :D !