s=2-1+3-2+...+39-38+40-39
=40-1
= 39
\(S=1.2+2.3+..........+39.40\)
\(3S=1.2.3+2.3.3+...........+39.40.3\)
\(3S=\left(3-0\right).1.2+\left(4-1\right).2.3.+......+\left(41-38\right).39.40.\)
\(3S=1.2.3-0.1.2+2.3.4-1.2.3+......+39.40.41-38.39.40\)
\(3S=0+39.40.41\)
\(3S=63960\)
\(S=63960:3=21320\)