Generating function

Question

1. Find a closed form for the generating function for the sequence $1,1,0,1,1,1,1,1,1,1,...........$

2. Find a closed form for the generating function for the sequence $a_n= 2n+3$ for all  $n=0,1,2,....$

Answer 1

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I think this is the solution...

Comments

Thanks a lot.