Practice - Lecture -14
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Practice Questions
Test your understanding with targeted questions
State the arithmetic mean of the numbers 4 and 16.
💡 Hint: Add the numbers and divide by 2.
Write the binary representation of 12.
💡 Hint: What powers of 2 do sum to 12?
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the arithmetic mean of 6 and 14?
💡 Hint: Calculate the average.
True or False: Every positive integer can be expressed as a sum of distinct powers of two.
💡 Hint: Think about how binary numbers work.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove by induction that for n = 2^k, the arithmetic mean is always greater than or equal to the geometric mean.
💡 Hint: Refocus on properly utilizing A and G through each inductive verification.
Given that 8 guests know each other, can you prove that there is no celebrity?
💡 Hint: Break down the definitions clearly to find contradictions.
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Reference links
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