1. Topic 1(COLON) Mathematical Proof and Reasoning
Lesson 1.3: Proof By Mathematical Induction: Series And Divisibility — Quiz
Test your understanding of lesson 1.3: proof by mathematical induction: series and divisibility with 5 practice questions.
Practice Questions
Question 1
What is the first stage in the proof by mathematical induction?
Question 2
In a mathematical proof by induction, what must be true for the inductive step?
Question 3
Which of the following statements is true about proof by mathematical induction?
Question 4
To prove that $5^n - 1$ is divisible by $4$ for all integers $n \geq 1$, which step must be performed first?
Question 5
What does the inductive hypothesis assume in a proof by mathematical induction?