`M=1/(1+2+3)+1/(1+2+3+4)+...+1/(1+2+3+...+59)`
`M=1/6+1/10+...+1/1770`
`M=2/12+2/20+...+2/3540`
`M=2/(3xx4)+2/(4xx5)+2/(59xx60)`
`M=1/2xx(1/3-1/4+1/4-1/5+...+1/59-1/60)`
`M=1/2xx(1/3-1/60)`
`M=1/2xx19/60`
`M=19/120`
Mà `19/120 < 2/3`
`=>M < 2/3 `(đpcm)