Gọi tổng trên là A
Ta có 3 x A = 1 x 2 x 3 + 2 x 3 x 3 + 3 x 4 x 3 + ... + 2015 x 2016 x 3
3 x A = 1 x 2 x (3 - 0) + 2 x 3 x (4 - 1) + 3 x 4 x (5 - 2) + ... + 2015 x 2016 x (2017 - 2014)
3 x A = 1 x 2 x 3 + 2 x 3 x 4 - 1 x 2 x 3 + 3 x 4 x 5 - 2 x 3 x 4 + .. + 2015 x 2016 x 2017 - 2014 x 2015 x 2016
=> 3 x A = 2015 x 2016 x 2017
=> A = 2015 x 672 x 2017 = ...