I am trying to solve the recurrance relation: (n+1)x_{n}=nx_{n-1}+2 with the condition that x_{0}=3 Does anyone know how I can get the solution given that is x_{n}=2+\frac{1}{n+1} I have tried various ways but none seem to work. I will update this post with my working soon to see if anyone can ellaborate or finish off what I have started many thanks!!.