Ta có:
D = 1(2-1)+2(3-1)+3(4-1)+...+15(16-1)
= 1.2+2.3+3.4+...+15.16 - (1+2+3+...+15)
= S - [ ( 15 + 1 ) . 15 : 2 ]
=S - 120
mà 3S = 3(1.2+2.3+3.4+...+15.16)
3S = 1.2.3 + 2.3.3 + 3.4.3 +...+ 15.16.3
3S = 1.2.3 +.2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 +...+15.16.17 - 14.15.16
3S = 15.16.17
S = 17.16.15:3
S = 816
Vậy D = 816 - 120 = 696