In a column of numbers 2,7,14,23. What is the 15th number

In a column of numbers 2,7,14,23. What is the 15th number

a1=2
a2=a1+5=a1+2*2+1
a3=a2+7=a2+2*3+1
a4=a3+9=a3+2*4+1
.
a15=a14+2*15+1
Add both sides of the equation
a15=2+2*2+1+2*3+1+2*4+1+...+2*15+1
=14+2*(1+15)*15/2
=14+240
=254