Question

M=3/2+3/6+3/12+...+3/2022x2023

Answer 1

`1/3 M = 1/2 + 1/6 + ... + 1/(2022xx2023)`

`= 1/1  - 1/2 + 1/2 - 1/3 + ... + 1/2022 - 1/2023`

`= 2022/2023`

`-> M = 674/2023`

Answer 2

Mọi người giải nhanh nha

Answer 3

`M = 3/2 + 3/6 + 3/12 + ... + 3/(2022 xx 2023)`

`=> 1/3 . M = 1/3 . (3/2 + 3/6 + ... + 3/(2022 xx 2023))`

`=> 1/3.M  = 1/2 + 1/6 + ... + 1/(2022 xx 2023)`

`=> 1/3.M = 1 - 1/2 + .... + 1/2022 - 1/2023`

`=> 1/3.M = 1 - 1/2023`

`=> 1/3 . M = 2022/2023`

`=> M         = 2022/2023 : 1/3`

`=> M         = 6066/2023`