Practice Valid Sequences Analysis (16.1) - Valid Sequences Analysis - Discrete Mathematics

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.
What is a valid sequence for n=3?
Show hintHide hint
Remember what numbers are in increasing order and start with 1 and end with n.
Question 2.
For n=2, how many valid sequences can you describe?
Show hintHide hint
Think about the definition of valid sequences.
3Question 3.
What does the function f(n) represent?
Show hintHide hint
Think about what constitutes a valid sequence overall.
4Question 4.
What is the recurrence relation we've defined?
- f(n) = f(n-1)
- f(n) = 2 * f(n-1)
- f(n) = f(n-1) + 1
Show hintHide hint
Review how second last term influences the calculation.
Question 5.
Given f(5) = 4, discuss the structures of valid sequences that exist.
Show hintHide hint
How many ways can numbers be arranged?
Question 6.
Derive f(n) for n=6 and show all sequences possible.
Show hintHide hint
Construct from earlier instances.

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