S= $\frac{2}{2.3}$ + $\frac{2}{3.4}$ + $\frac{2}{4.5}$ +….+ $\frac{2}{199.200}$ 26/09/2021 Bởi Eloise S= $\frac{2}{2.3}$ + $\frac{2}{3.4}$ + $\frac{2}{4.5}$ +….+ $\frac{2}{199.200}$
`S=2/2.3 +2/3.4 +2/4.5 +…+ 2/199.200` `S= 2.( 1/2.3 +1/3.4 +1/4.5 +…+ 1/199.200)` `S= 2. ( 1/2 -1/3 +1/3 -1/4 +1/4 -1/5+…+1/199-1/200)` `S= 2.[1/2+(1/3-1/3)+(1/4-1/4)+(1/5-1/5)+…+(1/199-1/199)-1/200]` `S=2.(1/2+0+0+0+…+0-1/200)` `S=2.(1/2 -1/200)` `S=2.(100/200 -1/200)` `S=2. 99/200` `S= 198/200` `S= 99/100` chúc học tốt Bình luận
Giải thích các bước giải: 2/2.3+2/3.4+2/4.5+…+2/199.200 =2/2-2/3+2/3-2/4+2/4-2/5+…+2/199-2/200 =2/2-2/200 =200/200-2/200 =198/200 Bình luận
`S=2/2.3 +2/3.4 +2/4.5 +…+ 2/199.200`
`S= 2.( 1/2.3 +1/3.4 +1/4.5 +…+ 1/199.200)`
`S= 2. ( 1/2 -1/3 +1/3 -1/4 +1/4 -1/5+…+1/199-1/200)`
`S= 2.[1/2+(1/3-1/3)+(1/4-1/4)+(1/5-1/5)+…+(1/199-1/199)-1/200]`
`S=2.(1/2+0+0+0+…+0-1/200)`
`S=2.(1/2 -1/200)`
`S=2.(100/200 -1/200)`
`S=2. 99/200`
`S= 198/200`
`S= 99/100`
chúc học tốt
Giải thích các bước giải:
2/2.3+2/3.4+2/4.5+…+2/199.200
=2/2-2/3+2/3-2/4+2/4-2/5+…+2/199-2/200
=2/2-2/200
=200/200-2/200
=198/200