Practice Setting Up The Recurrence Equation (13.3) - Counting Using Recurrence Equations
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Setting up the Recurrence Equation

Practice - Setting up the Recurrence Equation

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define a recurrence equation.

💡 Hint: Think about how one term leads to another.

Question 2 Easy

What is A(1) for strings of length 1 without consecutive zeros?

💡 Hint: Consider what strings are valid.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a recurrence relation?

A method for counting
An equation using previous terms
A counting pattern

💡 Hint: Think of sequences you know.

Question 2

True or False: Initial conditions are irrelevant in recurrence equations.

True
False

💡 Hint: Consider the beginning of a countdown.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Using A(n) = A(n-1) + A(n-2), find A(6), given A(5) and A(4).

💡 Hint: You may count on A(5) being a certain value that you previously obtained.

Challenge 2 Hard

Create your own recurrence relation and solve for the first five terms.

💡 Hint: Start small and build up just like adding events on a timeline.

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