Đặt A = 1.2 + 2.3 + 3.4 + ... + 2015.2016
=> 3A = 1.2.3 + 2.3.3 + 3.4.3 + ... + 2015.2016.3
=> 3A = 1.2.3 + 2.3.(4 - 1) + 3.4.(5 - 2) + ... + 2015.2016.(2017 - 2014)
=> 3A = 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 2015.2016.2017 - 2014.2015.2016
=> 3A = 2015.2016.2017
=> A = 2015.2017.672
=> A = 2 731 179 360