Đáp án:
`text(S)=120/11`
Giải thích các bước giải:
`text(S)=8/3+32/15+72/35+128/63+200/99`
`=>text(S)/2=4/3+16/15+36/35+64/63+100/99`
`=>text(S)/2=(1+1/3)+(1+1/15)+(1+1/35)+(1+1/63)+(1+1/99)`
`=>text(S)/2=5+(1/3+1/15+1/35=1/63+1/99)`
`=>text(S)/2=5+(1/(1xx3)+1/(3xx5)+1/(5xx7)+1/(7xx9)+1/(9xx11))`
`=>text(S)=10+(2/(1xx3)+2/(3xx5)+3/(5xx7)+2/(7xx9)+2/(9xx11))`
`=>text(S)=10+(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)`
`=>text(S)=10+(1-1/11)`
`=>text(S)=10+10/11`
`=>text(S)=120/11`
Vậy `text(S)=120/11`.