Question

D=1/2.5+1/5.8+1/8.11+...+1/1979.1982

Answer 1

`D=1/2.5+1/5.8+1/8.11+...+1/1979.1982`

`=3/3(1/2.5+1/5.8+1/8.11+...+1/1979.1982)`

`=1/3(3/2.5+3/5.8+3/8.11+...+3/1979.1982)`

`=1/3(1/2-1/5+1/5-1/8+1/8-1/11+...+1/1979-1/1982)`

`=1/3(1/2-1/1982)`

`=1/3(991/1982-1/1982)`

`=1/3 . 495/991`

`=165/991`