Practice Examples Of Linear Homogeneous Recurrence Equations (13.7)

Practise this section

9 questions

Flashcard drill
2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define a recurrence equation.
Show hintHide hint
Think about sequences and how they are defined.
Question 2.
What is the Fibonacci sequence?
Show hintHide hint
Recall the classic example often introduced first in math discussions.
3Question 3.
What does a recurrence equation define?
- A sequence
- A polynomial
- A division
- A matrix
Show hintHide hint
Think about how sequences are structured.
4Question 4.
True or False: A non-homogeneous recurrence equation has no external addition.
- True
- False
Show hintHide hint
Consider the impact of added terms.
Question 5.
Create a non-homogeneous recurrence relation and solve it. Provide initial conditions.
Show hintHide hint
Look for patterns as you calculate a few terms.
Question 6.
Define a recurrence equation of degree 3 and describe how many initial conditions you would need to solve it.
Show hintHide hint
Recall how the degree relates to the number of initial conditions.

5 more questions in this section. Enroll free to practise them all.