`S = 7/( 1 . 3 ) + 7/( 3 . 5 ) + 7/( 5 . 7 ) + .... + 7/( 2015 . 2017 )`
`S = ( 2/( 1 . 3 ) + 2/( 3 . 5 ) + 2/( 5 . 7 ) + .... + 2/( 2015 . 2017 ) ) . 7/2`
`S = ( 1/1 - 1/3 + 1/3 - 1/5 + 1/5 - 1/7 + .... + 1/2015 - 1/2017 ) . 7/2`
`S = ( 1 - 1/2017 ) . 7/2`
`S = 2016/2017 . 7/2`
`S = 7056/2017`
Vậy `, S = 7056/2017 .`