Đáp án:
`A=121/105`
Giải thích các bước giải:
`A=1/5+1/35+1/63+...+1/399`
`=>A=1/1.5+1/5.7+1/7.9+...+1/19.21`
`=>2A=2/1.5+2/5.7+2/7.9+...+2/19.21`
`=>2A=2/1.5+1/5-1/7+1/7-1/9+...+1/19-1/21`
`=>2A=2/1.5+1/5-1/21`
`=>2A=1/2(4/1.5)+1/5-1/21`
`=>2A=1/2(1-1/5)+1/5-1/21`
`=>2A=1/2-1/10+1/5-1/21`
`=>A=2(1/2-1/10+1/5-1/21)`
`=>A=1-1/5+2/5-1/21`
`=>A=4/5+2/5-1/21`
`=>A=6/5-1/21`
`=>A=121/105`
Vậy `A=121/105`.