Sequence 5.9.14.20.27, find the general term an You're right, but can you give me the process? I'll choose your one as satisfactory

Sequence 5.9.14.20.27, find the general term an You're right, but can you give me the process? I'll choose your one as satisfactory


a2-a1=4
a3-a2=5
.
an-a(n-1)=n+2
Add up the above equations
an-a1=4+5+.+n+2
an-5=(4+n+2)*(n-1)/2
an=(n+6)*(n-1)/2+5
an=(n^2+5n+4)/2
an=(n+1)(n+4)/2