Practice Recurrence Condition (16.6.1) - Valid Sequences Analysis - Discrete Mathematics - Vol 2

Practice: Recurrence Condition

Lesson 16.6.1Valid Sequences Analysis

Practise this section

8 questions

Flashcard drill
3 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
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is a recurrence relation?
Show hintHide hint
Think about how sequences can be defined based on previous terms.
Question 2.
Provide an example of a strictly increasing sequence.
Show hintHide hint
Consider a sequence of numbers that continuously get larger.
3Question 3.
What defines a strictly increasing sequence?
- Each term is equal
- Each term is greater than the previous one
- Each term is a whole number
Show hintHide hint
Think about how the numbers in the sequence relate to one another.
4Question 4.
True or False: Initial conditions are not needed to calculate recurrence relations.
- True
- False
Show hintHide hint
Consider where you would begin calculations.
Question 5.
If you have a sequence of strictly increasing integers from 1 to n, how many valid sequences can you construct where the second last number can't exceed n-1?
Show hintHide hint
Think about how many terms are available and apply your understanding of the sequence definitions.
Question 6.
Using your knowledge of the relationship between f(n) for combinations with initial conditions, calculate values for n up to 5.
Show hintHide hint
Remember to build upon each previous result step-by-step.

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