12. Advanced Counting (SLASH) Generating Functions Overview

Introductory Generating Functions If Included — Quiz

Test your understanding of introductory generating functions if included with 5 practice questions.

Practice Questions

Question 1

Which ordinary generating function represents the sequence $1,1,1,1,\dots$?

Question 2

What is the coefficient of $x^2$ in $(1+x)^5$?

Question 3

Which ordinary generating function represents the sequence $0,1,2,3,4,\dots$?

Question 4

What is the coefficient of $x^3$ in $\frac{1}{1-2x}$?

Question 5

In ordinary generating functions, what does the product $A(x)B(x)$ typically encode?