(1/12+1/120+1/220)/(2/12+2/120+2/220)=
Tính nhanh
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1.Tính 2.Tính
a)20 a)-73
b)-25 b)-30
c)-140 c)-18
3.So sánh
a) A>B
b) A=B
4. So sánh
a)A<B
b)A>B
c) A<B
Tick cho mình nha!!!
anh dai dien dep day!!! Giai ne .
7,2:2x57,2+ 2,86x2x64 / 4+4+8+12+20+...+220
= 7,2:2x2x28,6 + 2,86x2x64 / 4+4+8+12+20+32+52+84+136+220
= 0,72x286 + 0,72x286 / 2x2+x12x2+x52x2+x220x2
= (0,72+1,28)x286 / 2x(2+12+52+220) = 2x286 / 2x286 = 1
\(A=\frac{1}{4}+\frac{1}{12}+\frac{1}{24}+...+\frac{1}{220}\)
\(A=\frac{2}{8}+\frac{2}{24}+\frac{2}{48}+...+\frac{2}{440}\)
\(A=\frac{2}{2.4}+\frac{2}{4.6}+\frac{2}{6.8}+....+\frac{2}{20.22}\)
\(A=2.\left(\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{20}-\frac{1}{22}\right)\)
\(A=2.\left(\frac{1}{2}-\frac{1}{22}\right)=2.\frac{5}{11}=\frac{10}{11}\)
\(B=\left(1-\frac{1}{4}\right)\cdot\left(1-\frac{1}{9}\right)\cdot\left(1-\frac{1}{16}\right)\cdot...\cdot\left(1-\frac{1}{100}\right)\)
\(B=\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot...\cdot\frac{99}{100}\)
\(B=\frac{1.3}{2.2}\cdot\frac{2.4}{3.3}\cdot\frac{3.5}{4.4}\cdot...\cdot\frac{9.11}{10.10}\)
\(B=\frac{1\cdot2\cdot3\cdot....\cdot9}{2\cdot3\cdot4\cdot....\cdot10}\cdot\frac{3\cdot4\cdot5\cdot...\cdot11}{2\cdot3\cdot4\cdot....\cdot10}\)
\(B=\frac{1}{10}\cdot\frac{11}{2}=\frac{11}{20}\)