Đáp án: `15/8`
Giải thích các bước giải:
`1+1/3+1/6+1/10+1/15+...+1/120`
`=2/2+2/6+2/12+2/20+2/30+...+2/240` `=2(1-1/6+1/12+1/20+1/30+...+1/240)`
`=2(1-1/2.3``+1/3.4``+1/4.5``+1/5.6``+...+1/15.16)` `=2(1-1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+...+1/15-1/16)` `=2(1-1/16)`
`=2.` `15/16`
`=15/8`