Problem - 4349
Find the generating function for the sequence $2,\ 3,\ 4,\ 5,\ \cdots$.
Applying the left shifting rule on the conclusion of # 4348 gives the answer as $$\frac{\frac{1}{(1-x)^2}-1}{x}=\boxed{\frac{2-x}{(1-x)^2}}$$
Find the generating function for the sequence $2,\ 3,\ 4,\ 5,\ \cdots$.
Applying the left shifting rule on the conclusion of # 4348 gives the answer as $$\frac{\frac{1}{(1-x)^2}-1}{x}=\boxed{\frac{2-x}{(1-x)^2}}$$