Practice - Tutorial 2: Part II
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the relationship between arithmetic mean and geometric mean for two numbers?
💡 Hint: Think about how averages work.
Can you represent the number 6 as a sum of distinct powers of two?
💡 Hint: Consider the binary equivalent.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
The arithmetic mean of two positive numbers is always:
💡 Hint: Think about the two numbers in question.
True or False: Every integer has a distinct binary representation.
💡 Hint: Consider how binary digits work.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
Using your understanding of the AM-GM inequality, prove that for any three positive numbers, the arithmetic mean will always be greater than the geometric mean.
💡 Hint: Start by proving for two, then extend your logic.
Create a logical argument or a proof for how many guests can be at a party where everyone is not a celebrity.
💡 Hint: Think about the implications of 'knowing' someone.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.