1. Pure Mathematics 1

Algebraic Proofs — Quiz

Test your understanding of algebraic proofs with 5 practice questions.

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Practice Questions

Question 1

Which of the following is the first step in proving a statement by mathematical induction?

Question 2

In a direct proof, what is the primary logical structure used?

Question 3

Which of the following expressions can be used to prove that the sum of two even integers is even?

Question 4

When proving by induction that $n^2 - n$ is always even for all positive integers $n$, what is the inductive step?

Question 5

Which of the following is an example of a direct proof?