Practice Initial Conditions For Recurrence Function (13.4)

Practise this section

8 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
2 questions · about 1 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is the value of F(1) based on the definition given?
Show hintHide hint
Think about the possible one-bit strings.
Question 2.
List the valid strings for F(2).
Show hintHide hint
Consider combinations of two bits.
3Question 3.
What does F(n) represent in our case?
- Number of valid bit strings of length n
- Number of permutations
- The value of n
Show hintHide hint
Recall what we are counting.
4Question 4.
Is the initial condition for F(1) equal to 1?
- True
- False
Show hintHide hint
What are the possible one-bit strings?
Question 5.
Calculate F(6) and validate all possible strings allowed under the conditions set.
Show hintHide hint
Continue building from F(5) and F(4).
Question 6.
Discuss how changes to the condition (like allowing '00') would affect your recurrence and outcomes.
Show hintHide hint
Think of all possible combinations!

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