3. Proof Techniques II

Mathematical Induction — Quiz

Test your understanding of mathematical induction with 5 practice questions.

Practice Questions

Question 1

In a proof by mathematical induction, which part is checked first?

Question 2

What is the inductive hypothesis?

Question 3

What must be shown in the inductive step?

Question 4

If both the base case and the inductive step are proven, what can be concluded?

Question 5

For the statement $1+2+\cdots+n = n(n+1)/2$, what does the base case $n=1$ evaluate to?