Giải thích các bước giải:
`a)`
`3/1.4 + 3/1.4 + 1/7.10 + ... + 3/40.43`
`= 1 - 1/4 + 1/4 - 1/7 + 1/7 - 1/10 + ... + 1/40 - 1/43`
`=1 - 1/43`
`= 43/43 - 1/43`
`=42/43`
`b)`
`1/(1.2.3)+ 1/(2.3.4) + ... +1/(98.99.100)`
`= 1/2 . (1/1.2 - 1/2.3 +1/2.3 - 1/3.4 + ... - 1/99.100)`
`= 1/2 . (1/1.2 - 1/99.100)`
`= 1/2. (1/2 - 1/9900)`
`=1/2. (4950/9900 - 1/9900)`
`=1/2 . 4949/9900`
`= 4949/19800`