3/2022-7/2x4-7/4x6-...-7/2020x202
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32/2x4+52/4x6+...+992/98x100
=9/8+25/24+...+9801/9800
=1+1/8+1+1/24+...+1+1/9800
=1+1+...+1+1/2.4+1/4.6+...+1/98.100
= 49 + A
với A=1/2.4+1/4.6+...+1/98.100
=1/4(1/1.2+1/2.3+...+1/49.50)
=1/4(1-1/2+1/2-1/3+...+1/49-1/50)
=1/4(1-1/50)
=1/4.49/50
=49/200
ta có:32/2x4+52/4x6+...+992/98x100= 49+A= 49+49/200=9849/200
chúc bạn hok tốt
C=1/(2x4)+1/(4x6)+...+1/(18x20)
2C=2/(2x4)+2/(4x6)+...+2/(18x20)
2C=1/2-1/4+1/4-1/6+....-1/20
2C= 1/2- 1/20
2C= 9/20
C= 9/20 x 1/2
C= 9/40
- Quên k auto súc vặc
\(=\dfrac{-7}{2022}\left(\dfrac{503}{3}+\dfrac{508}{3}\right)+\dfrac{7}{3}=\dfrac{-7}{2022}\cdot\dfrac{1011}{3}+\dfrac{7}{3}\)
\(=\dfrac{-7}{6}+\dfrac{7}{3}=\dfrac{-7}{6}+\dfrac{14}{6}=\dfrac{7}{6}\)
`(2/(2xx4)+2/(4xx6)+2/(6xx8)+2/(8xx10))xxy=1/3`
`=>(1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10)xxy=1/3`
`=>(1/2-1/10)xxy=1/3`
`=>(5/10-1/10)xxy=1/3`
`=>4/10xxy=1/3`
`=>2/5xxy=1/3`
`=>y=1/3:2/5`
`=>y=1/3xx5/2`
`=>y=5/6`
=1(2+1)+2(3+1)+3(4+1)+...+100(101+1)
=1.2+1+2.3+2+3.4+3+...+100.101+100
=(1.2+2.3+3.4+..+100.101)+(1+2+3+...+100)
=333300+5000
=338300