Đáp án:
`C=2015/1008`
Giải thích các bước giải:
`C = (1+1/1.3).(1+1/2.4).(1+1/3.5) ........(1+1/2014.2016)`
`C=(3/3+1/1.3).(8/8+1/2.4).(15/15+1/3.5)........(4060224/4060224+1/2014.2016)`
`C=(4/1.3).(9/2.4).(16/3.5)........(4060225/2014.2016)`
`C=(2^2/1.3).(3^2/2.4).(4^2/3.5)........(2015^2/2014.2016)`
`C=(2^2 .3^2 .4^2........2015^2)/(1.3.2.4.3.5.....2014.2016)`
`C=(2.3.4.....2015)/(1.2.3...2014) . (2.3.4.....2015)/(3.4.5.....2016)`
`C=2015/1 . 2/2016`
`C=2015 . 1/1008`
`C=2015/1008`
Vậy `C=2015/1008`
