This the generating function for .
Now is calcuable by finding the Taylor series for that function about x=0. Its derivatives are very easy to compute and very simple to write down in general. I'll leave that to you.
This deals with summation methods for generating functions...
Let Ar = C(2,2) + C(3,2) + ... + C(r+2,2). Find the generating function for Ar and use it to evaluate Ar.
b) Do the same for Br
Let Br = C(n,n) + C(n+1,n) + ... + C(n+r,n) where n is a given positive integer.
So for part b I need to find a generating function for Br and use it to evaluate Br.
Any help please I'm not sure how to form a generating function, and I missed this day of class, and this is the only problem on these summation methods.
This the generating function for .
Now is calcuable by finding the Taylor series for that function about x=0. Its derivatives are very easy to compute and very simple to write down in general. I'll leave that to you.