The general formula of 0 1 3 6 10 15 21 28

The general formula of 0 1 3 6 10 15 21 28

a2 - a1 = 1
a3 - a2 = 2
a4 - a3 = 3
.
an - an-1 = n-1
Add the left and right sides of the above formula to get
an - a1 = 1+2+3+.+(n-1)
therefore
an = (n-1)n/2 +a1 = (n-1)n/2