Hi. I have this problem.

Let and

a)Find the recurrence relation the coefficients satisfy. Be sure to state the initial values.

Okay, this is what I did so far. I went about finding the partial fractions for this . And assuming I did it correctly (I checked it on a calculator so it should be correct)... I ended up with this

Then my nxt step was to place it into form. So I get,

by geometric series.

so

It doesn't look right to me. Because I don't know what the initial values are. ?

b) Find an explicit expression for ,

How do I do this one? What would be the difference between finding the recurrence relation??

Thanks for your help.